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40374996480 = 293357313131
BaseRepresentation
bin100101100110100010…
…011000111000000000
310212012210200022222000
4211212202120320000
51130141444341410
630314212144000
72626346544000
oct454642307000
9125183608860
1040374996480
11161396a6495
1279a9608000
133a6597b180
141d50304000
1510b48abdc0
hex966898e00

40374996480 has 1280 divisors, whose sum is σ = 181488384000. Its totient is φ = 8453652480.

The previous prime is 40374996463. The next prime is 40374996509. The reversal of 40374996480 is 8469947304.

It is a happy number.

40374996480 is a `hidden beast` number, since 4 + 0 + 3 + 74 + 9 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 308206015 + ... + 308206145.

It is an arithmetic number, because the mean of its divisors is an integer number (141787800).

Almost surely, 240374996480 is an apocalyptic number.

40374996480 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 40374996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192000).

40374996480 is an abundant number, since it is smaller than the sum of its proper divisors (141113387520).

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

40374996480 is a wasteful number, since it uses less digits than its factorization.

40374996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 40374996480 in words is "forty billion, three hundred seventy-four million, nine hundred ninety-six thousand, four hundred eighty".