40939917391872 has 1344 divisors, whose sum is σ = 136504230670080. Its totient is φ = 12211480166400.

The previous prime is 40939917391859. The next prime is 40939917392057. The reversal of 40939917391872 is 27819371993904.

40939917391872 is a `hidden beast` number, since 4 + 0 + 9 + 399 + 1 + 73 + 91 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 40939917391872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47995213398 + ... + 47995214250.

It is an arithmetic number, because the mean of its divisors is an integer number (101565647820).

Almost surely, 2^{40939917391872} 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 40939917391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68252115335040).

40939917391872 is an abundant number, since it is smaller than the sum of its proper divisors (95564313278208).

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

40939917391872 is an equidigital number, since it uses as much as digits as its factorization.

40939917391872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 40939917391872 in words is "forty trillion, nine hundred thirty-nine billion, nine hundred seventeen million, three hundred ninety-one thousand, eight hundred seventy-two".