40697183382912 has 640 divisors, whose sum is σ = 141729011424000. Its totient is φ = 11349829693440.

The previous prime is 40697183382893. The next prime is 40697183382941. The reversal of 40697183382912 is 21928338179604.

40697183382912 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 7 + 1 + 8 + 338 + 291 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40697183382912.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 6082373487 + ... + 6082380177.

It is an arithmetic number, because the mean of its divisors is an integer number (221451580350).

Almost surely, 2^{40697183382912} is an apocalyptic number.

40697183382912 is a gapful number since it is divisible by the number (42) 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 40697183382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70864505712000).

40697183382912 is an abundant number, since it is smaller than the sum of its proper divisors (101031828041088).

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

40697183382912 is a wasteful number, since it uses less digits than its factorization.

40697183382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 40697183382912 in words is "forty trillion, six hundred ninety-seven billion, one hundred eighty-three million, three hundred eighty-two thousand, nine hundred twelve".