39997197396000 has 576 divisors, whose sum is σ = 153055175101920. Its totient is φ = 9833492275200.

The previous prime is 39997197395951. The next prime is 39997197396017. The reversal of 39997197396000 is 69379179993.

39997197396000 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 7 + 1 + 9 + 7 + 3 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5155424549136 + 34841772846864 = 2270556^2 + 5902692^2 .

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 39997197396000.

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, 387920454 + ... + 388023546.

Almost surely, 2^{39997197396000} is an apocalyptic number.

39997197396000 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 39997197396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76527587550960).

39997197396000 is an abundant number, since it is smaller than the sum of its proper divisors (113057977705920).

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

39997197396000 is a wasteful number, since it uses less digits than its factorization.

39997197396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103966 (or 103945 counting only the distinct ones).

The product of its (nonzero) digits is 156243654, while the sum is 72.

The spelling of 39997197396000 in words is "thirty-nine trillion, nine hundred ninety-seven billion, one hundred ninety-seven million, three hundred ninety-six thousand".