39982194164160 has 560 divisors, whose sum is σ = 151760103184800. Its totient is φ = 9962389241856.

The previous prime is 39982194164147. The next prime is 39982194164197. The reversal of 39982194164160 is 6146149128993.

39982194164160 is a `hidden beast` number, since 3 + 99 + 82 + 19 + 41 + 6 + 416 + 0 = 666.

It is a super-2 number, since 2×39982194164160² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35394976 + ... + 36507104.

Almost surely, 2^{39982194164160} is an apocalyptic number.

39982194164160 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 39982194164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75880051592400).

39982194164160 is an abundant number, since it is smaller than the sum of its proper divisors (111777909020640).

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

39982194164160 is a wasteful number, since it uses less digits than its factorization.

39982194164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112250 (or 1112231 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 39982194164160 in words is "thirty-nine trillion, nine hundred eighty-two billion, one hundred ninety-four million, one hundred sixty-four thousand, one hundred sixty".