1311054400 has 42 divisors (see below), whose sum is σ = 3226017170. Its totient is φ = 524421120.

The previous prime is 1311054389. The next prime is 1311054421. The reversal of 1311054400 is 44501131.

It can be written as a sum of positive squares in 3 ways, for example, as 342102016 + 968952384 = 18496^2 + 31128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 408105 + ... + 411304.

Almost surely, 2^1311054400 is an apocalyptic number.

1311054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311054400 is an abundant number, since it is smaller than the sum of its proper divisors (1914962770).

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

1311054400 is an equidigital number, since it uses as much as digits as its factorization.

1311054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819431 (or 819416 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1311054400 is about 36208.4851933908. The cubic root of 1311054400 is about 1094.4776669628.

Adding to 1311054400 its reverse (44501131), we get a palindrome (1355555531).

The spelling of 1311054400 in words is "one billion, three hundred eleven million, fifty-four thousand, four hundred".