12741416640 has 560 divisors, whose sum is σ = 47549677824. Its totient is φ = 3234816000.

The previous prime is 12741416621. The next prime is 12741416657. The reversal of 12741416640 is 4661414721.

It is a happy number.

12741416640 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 1 + 4 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12741416595 and 12741416604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81155442 + ... + 81155598.

Almost surely, 2^12741416640 is an apocalyptic number.

12741416640 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 12741416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774838912).

12741416640 is an abundant number, since it is smaller than the sum of its proper divisors (34808261184).

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

12741416640 is a wasteful number, since it uses less digits than its factorization.

12741416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12741416640 in words is "twelve billion, seven hundred forty-one million, four hundred sixteen thousand, six hundred forty".