39940416026400 has 576 divisors, whose sum is σ = 131957982648576. Its totient is φ = 10492385280000.

The previous prime is 39940416026389. The next prime is 39940416026417. The reversal of 39940416026400 is 462061404993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39940416026400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42444649930 + ... + 42444650870.

It is an arithmetic number, because the mean of its divisors is an integer number (229093719876).

Almost surely, 2^{39940416026400} is an apocalyptic number.

39940416026400 is a gapful number since it is divisible by the number (30) 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 39940416026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65978991324288).

39940416026400 is an abundant number, since it is smaller than the sum of its proper divisors (92017566622176).

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

39940416026400 is a wasteful number, since it uses less digits than its factorization.

39940416026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 39940416026400 in words is "thirty-nine trillion, nine hundred forty billion, four hundred sixteen million, twenty-six thousand, four hundred".