12344266440000 has 1680 divisors, whose sum is σ = 52840263453120. Its totient is φ = 2718965760000.

The previous prime is 12344266439993. The next prime is 12344266440043. The reversal of 12344266440000 is 4466244321.

12344266440000 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 4 + 2 + 6 + 644 + 0 + 0 + 0 + 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 239 ways as a sum of consecutive naturals, for example, 1952276839 + ... + 1952283161.

Almost surely, 2^{12344266440000} is an apocalyptic number.

12344266440000 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 12344266440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26420131726560).

12344266440000 is an abundant number, since it is smaller than the sum of its proper divisors (40495997013120).

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

12344266440000 is a wasteful number, since it uses less digits than its factorization.

12344266440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 12344266440000 in words is "twelve trillion, three hundred forty-four billion, two hundred sixty-six million, four hundred forty thousand".