1312040000400 has 120 divisors (see below), whose sum is σ = 4203247016640. Its totient is φ = 349848568320.

The previous prime is 1312040000399. The next prime is 1312040000419. The reversal of 1312040000400 is 40000402131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312040000400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17365906 + ... + 17441294.

It is an arithmetic number, because the mean of its divisors is an integer number (35027058472).

Almost surely, 2^{1312040000400} is an apocalyptic number.

1312040000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312040000400 is an abundant number, since it is smaller than the sum of its proper divisors (2891207016240).

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

1312040000400 is a wasteful number, since it uses less digits than its factorization.

1312040000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89913 (or 89902 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1312040000400 its reverse (40000402131), we get a palindrome (1352040402531).

The spelling of 1312040000400 in words is "one trillion, three hundred twelve billion, forty million, four hundred", and thus it is an aban number.