40032991318320 has 3360 divisors, whose sum is σ = 194975806083072. Its totient is φ = 7427261952000.

The previous prime is 40032991318249. The next prime is 40032991318363. The reversal of 40032991318320 is 2381319923004.

40032991318320 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 2 + 9 + 9 + 1 + 318 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 19907006115 + ... + 19907008125.

Almost surely, 2^{40032991318320} is an apocalyptic number.

40032991318320 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 40032991318320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97487903041536).

40032991318320 is an abundant number, since it is smaller than the sum of its proper divisors (154942814764752).

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

40032991318320 is a wasteful number, since it uses less digits than its factorization.

40032991318320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 40032991318320 in words is "forty trillion, thirty-two billion, nine hundred ninety-one million, three hundred eighteen thousand, three hundred twenty".