12800409600 has 360 divisors, whose sum is σ = 46221916608. Its totient is φ = 3099852800.

The previous prime is 12800409571. The next prime is 12800409613. The reversal of 12800409600 is 690400821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13516327 + ... + 13517273.

Almost surely, 2^12800409600 is an apocalyptic number.

12800409600 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 12800409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23110958304).

12800409600 is an abundant number, since it is smaller than the sum of its proper divisors (33421507008).

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

12800409600 is an equidigital number, since it uses as much as digits as its factorization.

12800409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12800409600 in words is "twelve billion, eight hundred million, four hundred nine thousand, six hundred".