1312340044400 has 960 divisors, whose sum is σ = 4419077160960. Its totient is φ = 361804185600.

The previous prime is 1312340044397. The next prime is 1312340044501. The reversal of 1312340044400 is 44400432131.

It is a self number, because there is not a number n which added to its sum of digits gives 1312340044400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 710524277 + ... + 710526123.

It is an arithmetic number, because the mean of its divisors is an integer number (4603205376).

Almost surely, 2^{1312340044400} is an apocalyptic number.

1312340044400 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 1312340044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209538580480).

1312340044400 is an abundant number, since it is smaller than the sum of its proper divisors (3106737116560).

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

1312340044400 is a wasteful number, since it uses less digits than its factorization.

1312340044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1312340044400 its reverse (44400432131), we get a palindrome (1356740476531).

The spelling of 1312340044400 in words is "one trillion, three hundred twelve billion, three hundred forty million, forty-four thousand, four hundred".