398625131520000 has 7840 divisors, whose sum is σ = 1986998665893120. Its totient is φ = 77396705280000.

The previous prime is 398625131519957. The next prime is 398625131520043. The reversal of 398625131520000 is 25131526893.

398625131520000 is a `hidden beast` number, since 3 + 9 + 8 + 625 + 1 + 3 + 15 + 2 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (398625131519957) and next prime (398625131520043).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 5460618239964 + ... + 5460618240036.

Almost surely, 2^{398625131520000} is an apocalyptic number.

398625131520000 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 398625131520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993499332946560).

398625131520000 is an abundant number, since it is smaller than the sum of its proper divisors (1588373534373120).

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

398625131520000 is an frugal number, since it uses more digits than its factorization.

398625131520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 398625131520000 in words is "three hundred ninety-eight trillion, six hundred twenty-five billion, one hundred thirty-one million, five hundred twenty thousand".