401013331344 has 30 divisors (see below), whose sum is σ = 1122280365206. Its totient is φ = 133671110400.

The previous prime is 401013331339. The next prime is 401013331373. The reversal of 401013331344 is 443133310104.

It can be written as a sum of positive squares in only one way, i.e., 352265990400 + 48747340944 = 593520^2 + 220788^2 .

It is a super-2 number, since 2×401013331344² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1392407257 + ... + 1392407544.

Almost surely, 2^401013331344 is an apocalyptic number.

It is an amenable number.

401013331344 is an abundant number, since it is smaller than the sum of its proper divisors (721267033862).

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

401013331344 is a wasteful number, since it uses less digits than its factorization.

401013331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784814815 (or 2784814806 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 401013331344 its reverse (443133310104), we get a palindrome (844146641448).

The spelling of 401013331344 in words is "four hundred one billion, thirteen million, three hundred thirty-one thousand, three hundred forty-four".