13148415590400 has 2280 divisors, whose sum is σ = 54372571646976. Its totient is φ = 3125595340800.

The previous prime is 13148415590393. The next prime is 13148415590437. The reversal of 13148415590400 is 409551484131.

13148415590400 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 4 + 15 + 590 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 279753523177 + ... + 279753523223.

Almost surely, 2^{13148415590400} is an apocalyptic number.

13148415590400 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 13148415590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27186285823488).

13148415590400 is an abundant number, since it is smaller than the sum of its proper divisors (41224156056576).

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

13148415590400 is an frugal number, since it uses more digits than its factorization.

13148415590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13148415590400 in words is "thirteen trillion, one hundred forty-eight billion, four hundred fifteen million, five hundred ninety thousand, four hundred".