398176811424 has 360 divisors, whose sum is σ = 1364585271588. Its totient is φ = 113566924800.

The previous prime is 398176811411. The next prime is 398176811467. The reversal of 398176811424 is 424118671893.

398176811424 is a `hidden beast` number, since 39 + 8 + 176 + 8 + 11 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 394047463824 + 4129347600 = 627732^2 + 64260^2 .

It is a super-3 number, since 3×398176811424³ (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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82933824 + ... + 82938624.

Almost surely, 2^398176811424 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 398176811424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682292635794).

398176811424 is an abundant number, since it is smaller than the sum of its proper divisors (966408460164).

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

398176811424 is a wasteful number, since it uses less digits than its factorization.

398176811424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5466 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 398176811424 in words is "three hundred ninety-eight billion, one hundred seventy-six million, eight hundred eleven thousand, four hundred twenty-four".