398252714130000 has 600 divisors, whose sum is σ = 1401356818173312. Its totient is φ = 105544720512000.

The previous prime is 398252714129989. The next prime is 398252714130013. The reversal of 398252714130000 is 31417252893.

It is a happy number.

398252714130000 is a `hidden beast` number, since 3 + 9 + 82 + 527 + 1 + 41 + 3 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 68866107109 + ... + 68866112891.

Almost surely, 2^{398252714130000} is an apocalyptic number.

398252714130000 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 398252714130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700678409086656).

398252714130000 is an abundant number, since it is smaller than the sum of its proper divisors (1003104104043312).

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

398252714130000 is a wasteful number, since it uses less digits than its factorization.

398252714130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 398252714130000 in words is "three hundred ninety-eight trillion, two hundred fifty-two billion, seven hundred fourteen million, one hundred thirty thousand".