13315814400 has 1056 divisors, whose sum is σ = 56142692352. Its totient is φ = 2713190400.

The previous prime is 13315814387. The next prime is 13315814443. The reversal of 13315814400 is 441851331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283315177 + ... + 283315223.

Almost surely, 2^13315814400 is an apocalyptic number.

13315814400 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 13315814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28071346176).

13315814400 is an abundant number, since it is smaller than the sum of its proper divisors (42826877952).

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

13315814400 is a wasteful number, since it uses less digits than its factorization.

13315814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 13315814400 in words is "thirteen billion, three hundred fifteen million, eight hundred fourteen thousand, four hundred".