40315432608000 has 1728 divisors, whose sum is σ = 166710751893504. Its totient is φ = 9259345920000.

The previous prime is 40315432607963. The next prime is 40315432608007. The reversal of 40315432608000 is 80623451304.

40315432608000 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 5 + 43 + 2 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40315432608007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7796445415 + ... + 7796450585.

It is an arithmetic number, because the mean of its divisors is an integer number (96476129568).

Almost surely, 2^{40315432608000} is an apocalyptic number.

40315432608000 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 40315432608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83355375946752).

40315432608000 is an abundant number, since it is smaller than the sum of its proper divisors (126395319285504).

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

40315432608000 is a wasteful number, since it uses less digits than its factorization.

40315432608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40315432608000 in words is "forty trillion, three hundred fifteen billion, four hundred thirty-two million, six hundred eight thousand".