398839334400 has 1200 divisors, whose sum is σ = 1609076012544. Its totient is φ = 96984760320.

The previous prime is 398839334359. The next prime is 398839334419. The reversal of 398839334400 is 4433938893.

398839334400 is a `hidden beast` number, since 3 + 98 + 83 + 9 + 33 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×398839334400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1711756684 + ... + 1711756916.

Almost surely, 2^398839334400 is an apocalyptic number.

398839334400 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 398839334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804538006272).

398839334400 is an abundant number, since it is smaller than the sum of its proper divisors (1210236678144).

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

398839334400 is a wasteful number, since it uses less digits than its factorization.

398839334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 398839334400 in words is "three hundred ninety-eight billion, eight hundred thirty-nine million, three hundred thirty-four thousand, four hundred".