398403476771200 has 384 divisors, whose sum is σ = 1092049336422720. Its totient is φ = 142850170552320.

The previous prime is 398403476771171. The next prime is 398403476771219. The reversal of 398403476771200 is 2177674304893.

It is a happy number.

It is a super-3 number, since 3×398403476771200³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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, 290846302 + ... + 292212898.

Almost surely, 2^{398403476771200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398403476771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546024668211360).

398403476771200 is an abundant number, since it is smaller than the sum of its proper divisors (693645859651520).

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

398403476771200 is a wasteful number, since it uses less digits than its factorization.

398403476771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366894 (or 1366877 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 61.

The spelling of 398403476771200 in words is "three hundred ninety-eight trillion, four hundred three billion, four hundred seventy-six million, seven hundred seventy-one thousand, two hundred".