13404610736640 has 800 divisors, whose sum is σ = 51002889784704. Its totient is φ = 3353202524160.

The previous prime is 13404610736611. The next prime is 13404610736659. The reversal of 13404610736640 is 4663701640431.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1096306207 + ... + 1096318433.

Almost surely, 2^{13404610736640} is an apocalyptic number.

13404610736640 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 13404610736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25501444892352).

13404610736640 is an abundant number, since it is smaller than the sum of its proper divisors (37598279048064).

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

13404610736640 is a wasteful number, since it uses less digits than its factorization.

13404610736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12590 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13404610736640 in words is "thirteen trillion, four hundred four billion, six hundred ten million, seven hundred thirty-six thousand, six hundred forty".