40476598081920 has 6912 divisors, whose sum is σ = 211573391178240. Its totient is φ = 7030466150400.

The previous prime is 40476598081819. The next prime is 40476598081943. The reversal of 40476598081920 is 2918089567404.

40476598081920 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 6 + 598 + 0 + 8 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 863 ways as a sum of consecutive naturals, for example, 233968774954 + ... + 233968775126.

It is an arithmetic number, because the mean of its divisors is an integer number (30609576270).

Almost surely, 2^{40476598081920} is an apocalyptic number.

40476598081920 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 40476598081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105786695589120).

40476598081920 is an abundant number, since it is smaller than the sum of its proper divisors (171096793096320).

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

40476598081920 is a wasteful number, since it uses less digits than its factorization.

40476598081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 40476598081920 in words is "forty trillion, four hundred seventy-six billion, five hundred ninety-eight million, eighty-one thousand, nine hundred twenty".