1312410400 has 144 divisors (see below), whose sum is σ = 3691638720. Its totient is φ = 446284800.

The previous prime is 1312410361. The next prime is 1312410409. The reversal of 1312410400 is 40142131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1312410409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732706 + ... + 734494.

It is an arithmetic number, because the mean of its divisors is an integer number (25636380).

Almost surely, 2^1312410400 is an apocalyptic number.

1312410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845819360).

1312410400 is an abundant number, since it is smaller than the sum of its proper divisors (2379228320).

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

1312410400 is a wasteful number, since it uses less digits than its factorization.

1312410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1312410400 is about 36227.2052468859. The cubic root of 1312410400 is about 1094.8548698072.

Adding to 1312410400 its reverse (40142131), we get a palindrome (1352552531).

The spelling of 1312410400 in words is "one billion, three hundred twelve million, four hundred ten thousand, four hundred".