398629442534400 has 5544 divisors, whose sum is σ = 1962927698765184. Its totient is φ = 79184712499200.

The previous prime is 398629442534383. The next prime is 398629442534483. The reversal of 398629442534400 is 4435244926893.

398629442534400 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 2 + 94 + 4 + 2 + 534 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5544).

It is a super-5 number, since 5×398629442534400⁵ (a number of 74 digits) contains 55555 as substring.

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 503 ways as a sum of consecutive naturals, for example, 231357771939 + ... + 231357773661.

Almost surely, 2^{398629442534400} is an apocalyptic number.

398629442534400 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 398629442534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981463849382592).

398629442534400 is an abundant number, since it is smaller than the sum of its proper divisors (1564298256230784).

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

398629442534400 is a wasteful number, since it uses less digits than its factorization.

398629442534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 398629442534400 in words is "three hundred ninety-eight trillion, six hundred twenty-nine billion, four hundred forty-two million, five hundred thirty-four thousand, four hundred".