1311888400 has 45 divisors (see below), whose sum is σ = 3153553213. Its totient is φ = 524465600.

The previous prime is 1311888337. The next prime is 1311888433. The reversal of 1311888400 is 48881131.

The square root of 1311888400 is 36220.

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., 472279824 + 839608576 = 21732^2 + 28976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 723495 + ... + 725305.

Almost surely, 2^1311888400 is an apocalyptic number.

1311888400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311888400 is the 36220-th square number.

It is an amenable number.

1311888400 is an abundant number, since it is smaller than the sum of its proper divisors (1841664813).

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

1311888400 is an frugal number, since it uses more digits than its factorization.

1311888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The cubic root of 1311888400 is about 1094.7096941746.

The spelling of 1311888400 in words is "one billion, three hundred eleven million, eight hundred eighty-eight thousand, four hundred".