398415790080 has 1536 divisors, whose sum is σ = 1796057452800. Its totient is φ = 79932948480.

The previous prime is 398415790001. The next prime is 398415790081. The reversal of 398415790080 is 80097514893.

398415790080 is a `hidden beast` number, since 398 + 41 + 57 + 90 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 398415789999 and 398415790026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398415790081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13738475506 + ... + 13738475534.

Almost surely, 2^398415790080 is an apocalyptic number.

398415790080 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 398415790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898028726400).

398415790080 is an abundant number, since it is smaller than the sum of its proper divisors (1397641662720).

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

398415790080 is an equidigital number, since it uses as much as digits as its factorization.

398415790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 398415790080 in words is "three hundred ninety-eight billion, four hundred fifteen million, seven hundred ninety thousand, eighty".