398202255360 has 3072 divisors, whose sum is σ = 1981324800000. Its totient is φ = 74912366592.

The previous prime is 398202255307. The next prime is 398202255383. The reversal of 398202255360 is 63552202893.

398202255360 is a `hidden beast` number, since 3 + 98 + 2 + 0 + 2 + 2 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 20958013431 + ... + 20958013449.

It is an arithmetic number, because the mean of its divisors is an integer number (644962500).

Almost surely, 2^398202255360 is an apocalyptic number.

398202255360 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 398202255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400000).

398202255360 is an abundant number, since it is smaller than the sum of its proper divisors (1583122544640).

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

398202255360 is a wasteful number, since it uses less digits than its factorization.

398202255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 398202255360 in words is "three hundred ninety-eight billion, two hundred two million, two hundred fifty-five thousand, three hundred sixty".