12438936720 has 960 divisors, whose sum is σ = 55376455680. Its totient is φ = 2526142464.

The previous prime is 12438936683. The next prime is 12438936733. The reversal of 12438936720 is 2763983421.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43953699 + ... + 43953981.

It is an arithmetic number, because the mean of its divisors is an integer number (57683808).

Almost surely, 2^12438936720 is an apocalyptic number.

12438936720 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 12438936720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27688227840).

12438936720 is an abundant number, since it is smaller than the sum of its proper divisors (42937518960).

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

12438936720 is a wasteful number, since it uses less digits than its factorization.

12438936720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12438936720 in words is "twelve billion, four hundred thirty-eight million, nine hundred thirty-six thousand, seven hundred twenty".