13404937920 has 448 divisors, whose sum is σ = 49772620800. Its totient is φ = 3020554240.

The previous prime is 13404937879. The next prime is 13404937939. The reversal of 13404937920 is 2973940431.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15976861 + ... + 15977699.

It is an arithmetic number, because the mean of its divisors is an integer number (111099600).

Almost surely, 2^13404937920 is an apocalyptic number.

13404937920 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 13404937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24886310400).

13404937920 is an abundant number, since it is smaller than the sum of its proper divisors (36367682880).

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

13404937920 is a wasteful number, since it uses less digits than its factorization.

13404937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 13404937920 in words is "thirteen billion, four hundred four million, nine hundred thirty-seven thousand, nine hundred twenty".