13331440400 has 60 divisors (see below), whose sum is σ = 32894464932. Its totient is φ = 5188446720.

The previous prime is 13331440391. The next prime is 13331440411. The reversal of 13331440400 is 404413331.

It can be written as a sum of positive squares in 6 ways, for example, as 543449344 + 12787991056 = 23312^2 + 113084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435587 + ... + 465186.

Almost surely, 2^13331440400 is an apocalyptic number.

13331440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331440400 is an abundant number, since it is smaller than the sum of its proper divisors (19563024532).

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

13331440400 is a wasteful number, since it uses less digits than its factorization.

13331440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900828 (or 900817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13331440400 its reverse (404413331), we get a palindrome (13735853731).

The spelling of 13331440400 in words is "thirteen billion, three hundred thirty-one million, four hundred forty thousand, four hundred".