12368952381440 has 416 divisors, whose sum is σ = 32384461824000. Its totient is φ = 4516740071424.

The previous prime is 12368952381407. The next prime is 12368952381463. The reversal of 12368952381440 is 4418325986321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9670798721 + ... + 9670799999.

It is an arithmetic number, because the mean of its divisors is an integer number (77847264000).

Almost surely, 2^{12368952381440} is an apocalyptic number.

12368952381440 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 12368952381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192230912000).

12368952381440 is an abundant number, since it is smaller than the sum of its proper divisors (20015509442560).

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

12368952381440 is a wasteful number, since it uses less digits than its factorization.

12368952381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 12368952381440 in words is "twelve trillion, three hundred sixty-eight billion, nine hundred fifty-two million, three hundred eighty-one thousand, four hundred forty".