13420417920 has 384 divisors, whose sum is σ = 53594382240. Its totient is φ = 2831302656.

The previous prime is 13420417919. The next prime is 13420417939. The reversal of 13420417920 is 2971402431.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1217554 + ... + 1228526.

Almost surely, 2^13420417920 is an apocalyptic number.

13420417920 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 13420417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26797191120).

13420417920 is an abundant number, since it is smaller than the sum of its proper divisors (40173964320).

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

13420417920 is a wasteful number, since it uses less digits than its factorization.

13420417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11022 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 13420417920 in words is "thirteen billion, four hundred twenty million, four hundred seventeen thousand, nine hundred twenty".