398790177943872 has 1792 divisors, whose sum is σ = 1425381678120960. Its totient is φ = 96438988800000.

The previous prime is 398790177943741. The next prime is 398790177943877. The reversal of 398790177943872 is 278349771097893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398790177943877) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26408189122 + ... + 26408204222.

It is an arithmetic number, because the mean of its divisors is an integer number (795413882880).

Almost surely, 2^{398790177943872} is an apocalyptic number.

398790177943872 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 398790177943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712690839060480).

398790177943872 is an abundant number, since it is smaller than the sum of its proper divisors (1026591500177088).

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

398790177943872 is a wasteful number, since it uses less digits than its factorization.

398790177943872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15284 (or 15274 counting only the distinct ones).

The product of its (nonzero) digits is 8065516032, while the sum is 84.

The spelling of 398790177943872 in words is "three hundred ninety-eight trillion, seven hundred ninety billion, one hundred seventy-seven million, nine hundred forty-three thousand, eight hundred seventy-two".