39998170656 has 480 divisors, whose sum is σ = 130457582640. Its totient is φ = 11965169664.

The previous prime is 39998170621. The next prime is 39998170661. The reversal of 39998170656 is 65607189993.

It can be written as a sum of positive squares in 8 ways, for example, as 7273360656 + 32724810000 = 85284^2 + 180900^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39998170593 and 39998170602.

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, 144397590 + ... + 144397866.

Almost surely, 2^39998170656 is an apocalyptic number.

39998170656 is a gapful number since it is divisible by the number (36) 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 39998170656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65228791320).

39998170656 is an abundant number, since it is smaller than the sum of its proper divisors (90459411984).

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

39998170656 is a wasteful number, since it uses less digits than its factorization.

39998170656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 39998170656 in words is "thirty-nine billion, nine hundred ninety-eight million, one hundred seventy thousand, six hundred fifty-six".