12942649440 has 576 divisors, whose sum is σ = 54616633344. Its totient is φ = 2723364864.

The previous prime is 12942649439. The next prime is 12942649523. The reversal of 12942649440 is 4494624921.

12942649440 is a `hidden beast` number, since 12 + 94 + 26 + 494 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8053117 + ... + 8054723.

It is an arithmetic number, because the mean of its divisors is an integer number (94820544).

Almost surely, 2^12942649440 is an apocalyptic number.

12942649440 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 12942649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27308316672).

12942649440 is an abundant number, since it is smaller than the sum of its proper divisors (41673983904).

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

12942649440 is a wasteful number, since it uses less digits than its factorization.

12942649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12942649440 in words is "twelve billion, nine hundred forty-two million, six hundred forty-nine thousand, four hundred forty".