398401375680 has 2016 divisors, whose sum is σ = 1904569085952. Its totient is φ = 75246796800.

The previous prime is 398401375577. The next prime is 398401375703. The reversal of 398401375680 is 86573104893.

398401375680 is a `hidden beast` number, since 3 + 9 + 8 + 40 + 1 + 37 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×398401375680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 818072397 + ... + 818072883.

Almost surely, 2^398401375680 is an apocalyptic number.

398401375680 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 398401375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952284542976).

398401375680 is an abundant number, since it is smaller than the sum of its proper divisors (1506167710272).

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

398401375680 is a wasteful number, since it uses less digits than its factorization.

398401375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 398401375680 in words is "three hundred ninety-eight billion, four hundred one million, three hundred seventy-five thousand, six hundred eighty".