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40878690000 = 2435419292473
BaseRepresentation
bin100110000100100011…
…110100111011010000
310220111220110121120120
4212010203310323100
51132204421040000
630440204110240
72645004063141
oct460443647320
9126456417516
1040878690000
1116377a55925
127b0a235380
133b16127485
141d9b17bac8
1510e3c046a0
hex9848f4ed0

40878690000 has 400 divisors, whose sum is σ = 143755233600. Its totient is φ = 9967104000.

The previous prime is 40878689993. The next prime is 40878690001. The reversal of 40878690000 is 9687804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×408786900002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40878690001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16528764 + ... + 16531236.

It is an arithmetic number, because the mean of its divisors is an integer number (359388084).

Almost surely, 240878690000 is an apocalyptic number.

40878690000 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 40878690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71877616800).

40878690000 is an abundant number, since it is smaller than the sum of its proper divisors (102876543600).

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

40878690000 is a wasteful number, since it uses less digits than its factorization.

40878690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 40878690000 in words is "forty billion, eight hundred seventy-eight million, six hundred ninety thousand".