13407401551104 has 432 divisors, whose sum is σ = 45053289415680. Its totient is φ = 3791557693440.

The previous prime is 13407401551069. The next prime is 13407401551127. The reversal of 13407401551104 is 40115510470431.

13407401551104 is a `hidden beast` number, since 1 + 34 + 0 + 74 + 0 + 1 + 551 + 1 + 0 + 4 = 666.

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

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, 32055129 + ... + 32470695.

Almost surely, 2^{13407401551104} 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 13407401551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22526644707840).

13407401551104 is an abundant number, since it is smaller than the sum of its proper divisors (31645887864576).

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

13407401551104 is a wasteful number, since it uses less digits than its factorization.

13407401551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415686 (or 415669 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 13407401551104 in words is "thirteen trillion, four hundred seven billion, four hundred one million, five hundred fifty-one thousand, one hundred four".