401084089344 has 231 divisors, whose sum is σ = 1203757057533. Its totient is φ = 133512302592.

The previous prime is 401084089313. The next prime is 401084089369. The reversal of 401084089344 is 443980480104.

The square root of 401084089344 is 633312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 392376960000 + 8707129344 = 626400^2 + 93312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 401084089344.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 547181202 + ... + 547181934.

Almost surely, 2^401084089344 is an apocalyptic number.

401084089344 is the 633312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401084089344

401084089344 is an abundant number, since it is smaller than the sum of its proper divisors (802672968189).

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

401084089344 is an frugal number, since it uses more digits than its factorization.

401084089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 401084089344 in words is "four hundred one billion, eighty-four million, eighty-nine thousand, three hundred forty-four".