13144324411404 has 192 divisors, whose sum is σ = 37311054520320. Its totient is φ = 3983760506880.

The previous prime is 13144324411349. The next prime is 13144324411429. The reversal of 13144324411404 is 40411442344131.

13144324411404 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 3 + 244 + 1 + 1 + 404 = 666.

It is a super-2 number, since 2×13144324411404² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32640409 + ... + 33040655.

It is an arithmetic number, because the mean of its divisors is an integer number (194328408960).

Almost surely, 2^{13144324411404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144324411404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18655527260160).

13144324411404 is an abundant number, since it is smaller than the sum of its proper divisors (24166730108916).

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

13144324411404 is a wasteful number, since it uses less digits than its factorization.

13144324411404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400885 (or 400877 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13144324411404 its reverse (40411442344131), we get a palindrome (53555766755535).

The spelling of 13144324411404 in words is "thirteen trillion, one hundred forty-four billion, three hundred twenty-four million, four hundred eleven thousand, four hundred four".