398554344681600 has 384 divisors, whose sum is σ = 1322074782780480. Its totient is φ = 105526897459200.

The previous prime is 398554344681593. The next prime is 398554344681611. The reversal of 398554344681600 is 6186443455893.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1257067095 + ... + 1257384105.

Almost surely, 2^{398554344681600} is an apocalyptic number.

398554344681600 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 398554344681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661037391390240).

398554344681600 is an abundant number, since it is smaller than the sum of its proper divisors (923520438098880).

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

398554344681600 is a wasteful number, since it uses less digits than its factorization.

398554344681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317968 (or 317951 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 66.

The spelling of 398554344681600 in words is "three hundred ninety-eight trillion, five hundred fifty-four billion, three hundred forty-four million, six hundred eighty-one thousand, six hundred".