12409634160 has 1800 divisors, whose sum is σ = 61422474960. Its totient is φ = 2299207680.

The previous prime is 12409634147. The next prime is 12409634189. The reversal of 12409634160 is 6143690421.

12409634160 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 9 + 634 + 16 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 653138631 + ... + 653138649.

Almost surely, 2^12409634160 is an apocalyptic number.

12409634160 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 12409634160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30711237480).

12409634160 is an abundant number, since it is smaller than the sum of its proper divisors (49012840800).

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

12409634160 is a wasteful number, since it uses less digits than its factorization.

12409634160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12409634160 in words is "twelve billion, four hundred nine million, six hundred thirty-four thousand, one hundred sixty".