398830518220032 has 720 divisors, whose sum is σ = 1237014246327552. Its totient is φ = 127705101189120.

The previous prime is 398830518219989. The next prime is 398830518220073. The reversal of 398830518220032 is 230022815038893.

It is a happy number.

398830518220032 is a `hidden beast` number, since 3 + 9 + 88 + 305 + 1 + 8 + 220 + 0 + 32 = 666.

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

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, 19799946153 + ... + 19799966295.

Almost surely, 2^{398830518220032} is an apocalyptic number.

398830518220032 is a gapful number since it is divisible by the number (32) 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 398830518220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618507123163776).

398830518220032 is an abundant number, since it is smaller than the sum of its proper divisors (838183728107520).

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

398830518220032 is a wasteful number, since it uses less digits than its factorization.

398830518220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20536 (or 20513 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 398830518220032 in words is "three hundred ninety-eight trillion, eight hundred thirty billion, five hundred eighteen million, two hundred twenty thousand, thirty-two".