39974797094400 has 1080 divisors, whose sum is σ = 166541652917640. Its totient is φ = 9130161438720.

The previous prime is 39974797094399. The next prime is 39974797094411. The reversal of 39974797094400 is 449079747993.

39974797094400 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 47 + 97 + 0 + 94 + 400 = 666.

It is a super-2 number, since 2×39974797094400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13033841667 + ... + 13033844733.

It is an arithmetic number, because the mean of its divisors is an integer number (154205234183).

Almost surely, 2^{39974797094400} is an apocalyptic number.

39974797094400 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 39974797094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83270826458820).

39974797094400 is an abundant number, since it is smaller than the sum of its proper divisors (126566855823240).

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

39974797094400 is a wasteful number, since it uses less digits than its factorization.

39974797094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 39974797094400 in words is "thirty-nine trillion, nine hundred seventy-four billion, seven hundred ninety-seven million, ninety-four thousand, four hundred".