40368431376 has 480 divisors, whose sum is σ = 146318635008. Its totient is φ = 10490135040.

The previous prime is 40368431333. The next prime is 40368431417. The reversal of 40368431376 is 67313486304.

It is a super-2 number, since 2×40368431376² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 25119565 + ... + 25121171.

Almost surely, 2^40368431376 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 40368431376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73159317504).

40368431376 is an abundant number, since it is smaller than the sum of its proper divisors (105950203632).

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

40368431376 is a wasteful number, since it uses less digits than its factorization.

40368431376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 40368431376 in words is "forty billion, three hundred sixty-eight million, four hundred thirty-one thousand, three hundred seventy-six".