398531444340960 has 960 divisors, whose sum is σ = 1696051978790400. Its totient is φ = 86092419207168.

The previous prime is 398531444340937. The next prime is 398531444340973. The reversal of 398531444340960 is 69043444135893.

It is a happy number.

398531444340960 is a `hidden beast` number, since 3 + 9 + 8 + 53 + 14 + 443 + 40 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 721946014 + ... + 722497826.

It is an arithmetic number, because the mean of its divisors is an integer number (1766720811240).

Almost surely, 2^{398531444340960} is an apocalyptic number.

398531444340960 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 398531444340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848025989395200).

398531444340960 is an abundant number, since it is smaller than the sum of its proper divisors (1297520534449440).

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

398531444340960 is a wasteful number, since it uses less digits than its factorization.

398531444340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552285 (or 552268 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 398531444340960 in words is "three hundred ninety-eight trillion, five hundred thirty-one billion, four hundred forty-four million, three hundred forty thousand, nine hundred sixty".