40400007596928 has 768 divisors, whose sum is σ = 145333843200000. Its totient is φ = 10912868259840.

The previous prime is 40400007596891. The next prime is 40400007597043. The reversal of 40400007596928 is 82969570000404.

40400007596928 is a `hidden beast` number, since 4 + 0 + 40 + 0 + 0 + 0 + 7 + 596 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×40400007596928² (a number of 28 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2064269383 + ... + 2064288953.

It is an arithmetic number, because the mean of its divisors is an integer number (189236775000).

Almost surely, 2^{40400007596928} is an apocalyptic number.

40400007596928 is a gapful number since it is divisible by the number (48) 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 40400007596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72666921600000).

40400007596928 is an abundant number, since it is smaller than the sum of its proper divisors (104933835603072).

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

40400007596928 is a wasteful number, since it uses less digits than its factorization.

40400007596928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20125 (or 20101 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 40400007596928 in words is "forty trillion, four hundred billion, seven million, five hundred ninety-six thousand, nine hundred twenty-eight".