398296044288 has 144 divisors (see below), whose sum is σ = 1178293724160. Its totient is φ = 132713247744.

The previous prime is 398296044257. The next prime is 398296044323. The reversal of 398296044288 is 882440692893.

398296044288 is a `hidden beast` number, since 3 + 98 + 29 + 6 + 0 + 442 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20221581 + ... + 20241267.

Almost surely, 2^398296044288 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 398296044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589146862080).

398296044288 is an abundant number, since it is smaller than the sum of its proper divisors (779997679872).

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

398296044288 is a wasteful number, since it uses less digits than its factorization.

398296044288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22639 (or 22619 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 398296044288 in words is "three hundred ninety-eight billion, two hundred ninety-six million, forty-four thousand, two hundred eighty-eight".