39994372004400 has 1920 divisors, whose sum is σ = 172341883699200. Its totient is φ = 8699166720000.

The previous prime is 39994372004357. The next prime is 39994372004471. The reversal of 39994372004400 is 440027349993.

It is a happy number.

39994372004400 is a `hidden beast` number, since 3 + 9 + 99 + 43 + 72 + 0 + 0 + 440 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3288734320 + ... + 3288746480.

It is an arithmetic number, because the mean of its divisors is an integer number (89761397760).

Almost surely, 2^{39994372004400} is an apocalyptic number.

39994372004400 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 39994372004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86170941849600).

39994372004400 is an abundant number, since it is smaller than the sum of its proper divisors (132347511694800).

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

39994372004400 is a wasteful number, since it uses less digits than its factorization.

39994372004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12296 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 39994372004400 in words is "thirty-nine trillion, nine hundred ninety-four billion, three hundred seventy-two million, four thousand, four hundred".