12380904480 has 576 divisors, whose sum is σ = 47867283072. Its totient is φ = 2678538240.

The previous prime is 12380904433. The next prime is 12380904509. The reversal of 12380904480 is 8440908321.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35679667 + ... + 35680013.

It is an arithmetic number, because the mean of its divisors is an integer number (83102922).

Almost surely, 2^12380904480 is an apocalyptic number.

12380904480 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 12380904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23933641536).

12380904480 is an abundant number, since it is smaller than the sum of its proper divisors (35486378592).

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

12380904480 is a wasteful number, since it uses less digits than its factorization.

12380904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 12380904480 in words is "twelve billion, three hundred eighty million, nine hundred four thousand, four hundred eighty".