1313199416400 has 240 divisors, whose sum is σ = 4421564751744. Its totient is φ = 332515082240.

The previous prime is 1313199416371. The next prime is 1313199416437. The reversal of 1313199416400 is 46149913131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3607552 + ... + 3954848.

Almost surely, 2^{1313199416400} is an apocalyptic number.

1313199416400 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 1313199416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210782375872).

1313199416400 is an abundant number, since it is smaller than the sum of its proper divisors (3108365335344).

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

1313199416400 is a wasteful number, since it uses less digits than its factorization.

1313199416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347478 (or 347467 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 1313199416400 in words is "one trillion, three hundred thirteen billion, one hundred ninety-nine million, four hundred sixteen thousand, four hundred".