13141700048400 has 960 divisors, whose sum is σ = 55333849835520. Its totient is φ = 2582964633600.

The previous prime is 13141700048383. The next prime is 13141700048429. The reversal of 13141700048400 is 484000714131.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1188535672 + ... + 1188546728.

It is an arithmetic number, because the mean of its divisors is an integer number (57639426912).

Almost surely, 2^{13141700048400} is an apocalyptic number.

13141700048400 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 13141700048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27666924917760).

13141700048400 is an abundant number, since it is smaller than the sum of its proper divisors (42192149787120).

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

13141700048400 is a wasteful number, since it uses less digits than its factorization.

13141700048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11792 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 13141700048400 in words is "thirteen trillion, one hundred forty-one billion, seven hundred million, forty-eight thousand, four hundred".