12416640000 has 440 divisors, whose sum is σ = 42973244160. Its totient is φ = 3182592000.

The previous prime is 12416639981. The next prime is 12416640073. The reversal of 12416640000 is 4661421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55679889 + ... + 55680111.

It is an arithmetic number, because the mean of its divisors is an integer number (97666464).

Almost surely, 2^12416640000 is an apocalyptic number.

12416640000 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 12416640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486622080).

12416640000 is an abundant number, since it is smaller than the sum of its proper divisors (30556604160).

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

12416640000 is an equidigital number, since it uses as much as digits as its factorization.

12416640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 12416640000 in words is "twelve billion, four hundred sixteen million, six hundred forty thousand".