13041204960 has 288 divisors, whose sum is σ = 48053440512. Its totient is φ = 2964218880.

The previous prime is 13041204959. The next prime is 13041204997. The reversal of 13041204960 is 6940214031.

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 47 ways as a sum of consecutive naturals, for example, 4490869 + ... + 4493771.

It is an arithmetic number, because the mean of its divisors is an integer number (166852224).

Almost surely, 2^13041204960 is an apocalyptic number.

13041204960 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 13041204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24026720256).

13041204960 is an abundant number, since it is smaller than the sum of its proper divisors (35012235552).

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

13041204960 is a wasteful number, since it uses less digits than its factorization.

13041204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 13041204960 its reverse (6940214031), we get a palindrome (19981418991).

The spelling of 13041204960 in words is "thirteen billion, forty-one million, two hundred four thousand, nine hundred sixty".