13362000405104 has 240 divisors, whose sum is σ = 29897729339520. Its totient is φ = 5734785692160.

The previous prime is 13362000405077. The next prime is 13362000405107. The reversal of 13362000405104 is 40150400026331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362000405107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4437726959 + ... + 4437729969.

It is an arithmetic number, because the mean of its divisors is an integer number (124573872248).

Almost surely, 2^{13362000405104} 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 13362000405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948864669760).

13362000405104 is an abundant number, since it is smaller than the sum of its proper divisors (16535728934416).

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

13362000405104 is a wasteful number, since it uses less digits than its factorization.

13362000405104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 13362000405104 in words is "thirteen trillion, three hundred sixty-two billion, four hundred five thousand, one hundred four".