40384072856064 has 320 divisors, whose sum is σ = 127498889548800. Its totient is φ = 11113809788928.

The previous prime is 40384072856027. The next prime is 40384072856069. The reversal of 40384072856064 is 46065827048304.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40384072855995 and 40384072856013.

It is not an unprimeable number, because it can be changed into a prime (40384072856069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 130492999 + ... + 130802105.

It is an arithmetic number, because the mean of its divisors is an integer number (398434029840).

Almost surely, 2^{40384072856064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40384072856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63749444774400).

40384072856064 is an abundant number, since it is smaller than the sum of its proper divisors (87114816692736).

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

40384072856064 is a wasteful number, since it uses less digits than its factorization.

40384072856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309583 (or 309567 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 40384072856064 in words is "forty trillion, three hundred eighty-four billion, seventy-two million, eight hundred fifty-six thousand, sixty-four".