398375366400 has 1944 divisors, whose sum is σ = 1702505772240. Its totient is φ = 91968307200.

The previous prime is 398375366399. The next prime is 398375366407. The reversal of 398375366400 is 4663573893.

398375366400 is a `hidden beast` number, since 39 + 8 + 37 + 536 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398375366407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5457196764 + ... + 5457196836.

Almost surely, 2^398375366400 is an apocalyptic number.

398375366400 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 398375366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851252886120).

398375366400 is an abundant number, since it is smaller than the sum of its proper divisors (1304130405840).

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

398375366400 is a wasteful number, since it uses less digits than its factorization.

398375366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 398375366400 in words is "three hundred ninety-eight billion, three hundred seventy-five million, three hundred sixty-six thousand, four hundred".