13411444331296 has 192 divisors, whose sum is σ = 29482113024000. Its totient is φ = 5954103936000.

The previous prime is 13411444331267. The next prime is 13411444331317. The reversal of 13411444331296 is 69213344411431.

It is a super-2 number, since 2×13411444331296² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6709075705 + ... + 6709077703.

It is an arithmetic number, because the mean of its divisors is an integer number (153552672000).

Almost surely, 2^{13411444331296} is an apocalyptic number.

13411444331296 is a gapful number since it is divisible by the number (16) 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 13411444331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741056512000).

13411444331296 is an abundant number, since it is smaller than the sum of its proper divisors (16070668692704).

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

13411444331296 is a wasteful number, since it uses less digits than its factorization.

13411444331296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4111 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 13411444331296 in words is "thirteen trillion, four hundred eleven billion, four hundred forty-four million, three hundred thirty-one thousand, two hundred ninety-six".