13410601920 has 224 divisors, whose sum is σ = 47402496000. Its totient is φ = 3569144832.

The previous prime is 13410601901. The next prime is 13410601931. The reversal of 13410601920 is 2910601431.

13410601920 is a `hidden beast` number, since 1 + 3 + 410 + 60 + 192 + 0 = 666.

13410601920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588881 + ... + 5591279.

Almost surely, 2^13410601920 is an apocalyptic number.

13410601920 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 13410601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23701248000).

13410601920 is an abundant number, since it is smaller than the sum of its proper divisors (33991894080).

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

13410601920 is a wasteful number, since it uses less digits than its factorization.

13410601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13410601920 in words is "thirteen billion, four hundred ten million, six hundred one thousand, nine hundred twenty".