12438764800 has 432 divisors, whose sum is σ = 39344481792. Its totient is φ = 3780403200.

The previous prime is 12438764759. The next prime is 12438764813. The reversal of 12438764800 is 846783421.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 21190107 + ... + 21190693.

Almost surely, 2^12438764800 is an apocalyptic number.

12438764800 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 12438764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672240896).

12438764800 is an abundant number, since it is smaller than the sum of its proper divisors (26905716992).

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

12438764800 is a wasteful number, since it uses less digits than its factorization.

12438764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 12438764800 in words is "twelve billion, four hundred thirty-eight million, seven hundred sixty-four thousand, eight hundred".