40708864514304 has 576 divisors, whose sum is σ = 138208412160000. Its totient is φ = 11578161807360.

The previous prime is 40708864514303. The next prime is 40708864514369. The reversal of 40708864514304 is 40341546880704.

40708864514304 is a `hidden beast` number, since 4 + 0 + 70 + 8 + 86 + 451 + 43 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40708864514303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15784746487 + ... + 15784749065.

It is an arithmetic number, because the mean of its divisors is an integer number (239945160000).

Almost surely, 2^{40708864514304} 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 40708864514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69104206080000).

40708864514304 is an abundant number, since it is smaller than the sum of its proper divisors (97499547645696).

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

40708864514304 is a wasteful number, since it uses less digits than its factorization.

40708864514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 40708864514304 in words is "forty trillion, seven hundred eight billion, eight hundred sixty-four million, five hundred fourteen thousand, three hundred four".