12409528320 has 672 divisors, whose sum is σ = 51547471200. Its totient is φ = 2824077312.

The previous prime is 12409528291. The next prime is 12409528337. The reversal of 12409528320 is 2382590421.

It is a happy number.

12409528320 is a `hidden beast` number, since 1 + 240 + 95 + 2 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 54189966 + ... + 54190194.

Almost surely, 2^12409528320 is an apocalyptic number.

12409528320 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 12409528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25773735600).

12409528320 is an abundant number, since it is smaller than the sum of its proper divisors (39137942880).

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

12409528320 is an equidigital number, since it uses as much as digits as its factorization.

12409528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12409528320 in words is "twelve billion, four hundred nine million, five hundred twenty-eight thousand, three hundred twenty".