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40376278480 = 2454125914751
BaseRepresentation
bin100101100110100111…
…010001110111010000
310212012220002110112111
4211212213101313100
51130142311402410
630314255435104
72626363463416
oct454647216720
9125186073474
1040376278480
111613a3a169a
1279a9b25a94
133a66009855
141d505592b6
1510b4a61b8a
hex9669d1dd0

40376278480 has 80 divisors (see below), whose sum is σ = 96221841408. Its totient is φ = 15747200000.

The previous prime is 40376278463. The next prime is 40376278513. The reversal of 40376278480 is 8487267304.

40376278480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×403762784802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8496105 + ... + 8500855.

Almost surely, 240376278480 is an apocalyptic number.

40376278480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40376278480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48110920704).

40376278480 is an abundant number, since it is smaller than the sum of its proper divisors (55845562928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40376278480 is a wasteful number, since it uses less digits than its factorization.

40376278480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 40376278480 in words is "forty billion, three hundred seventy-six million, two hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 2591 3280 4751 5182 9502 10364 12955 19004 20728 23755 25910 38008 41456 47510 51820 76016 95020 103640 106231 190040 194791 207280 212462 380080 389582 424924 531155 779164 849848 973955 1062310 1558328 1699696 1947910 2124620 3116656 3895820 4249240 7791640 8498480 12309841 15583280 24619682 49239364 61549205 98478728 123098410 196957456 246196820 492393640 504703481 984787280 1009406962 2018813924 2523517405 4037627848 5047034810 8075255696 10094069620 20188139240 40376278480