12942039781440 has 1792 divisors, whose sum is σ = 58909996154880. Its totient is φ = 2598519398400.

The previous prime is 12942039781439. The next prime is 12942039781457. The reversal of 12942039781440 is 4418793024921.

12942039781440 is a `hidden beast` number, since 1 + 2 + 9 + 420 + 3 + 9 + 78 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19819356154 + ... + 19819356806.

Almost surely, 2^{12942039781440} is an apocalyptic number.

12942039781440 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 12942039781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29454998077440).

12942039781440 is an abundant number, since it is smaller than the sum of its proper divisors (45967956373440).

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

12942039781440 is an equidigital number, since it uses as much as digits as its factorization.

12942039781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12942039781440 in words is "twelve trillion, nine hundred forty-two billion, thirty-nine million, seven hundred eighty-one thousand, four hundred forty".