13634419120 has 80 divisors (see below), whose sum is σ = 36249608448. Its totient is φ = 4671947520.

The previous prime is 13634419111. The next prime is 13634419147. The reversal of 13634419120 is 2191443631.

13634419120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1120107 + ... + 1132213.

Almost surely, 2^13634419120 is an apocalyptic number.

13634419120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13634419120 is an abundant number, since it is smaller than the sum of its proper divisors (22615189328).

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

13634419120 is a wasteful number, since it uses less digits than its factorization.

13634419120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138 (or 14132 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 13634419120 in words is "thirteen billion, six hundred thirty-four million, four hundred nineteen thousand, one hundred twenty".