12736074041600 has 1728 divisors, whose sum is σ = 42325124352000. Its totient is φ = 3759274229760.

The previous prime is 12736074041519. The next prime is 12736074041629. The reversal of 12736074041600 is 614047063721.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45003795059 + ... + 45003795341.

Almost surely, 2^{12736074041600} is an apocalyptic number.

12736074041600 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 12736074041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162562176000).

12736074041600 is an abundant number, since it is smaller than the sum of its proper divisors (29589050310400).

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

12736074041600 is a wasteful number, since it uses less digits than its factorization.

12736074041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 12736074041600 in words is "twelve trillion, seven hundred thirty-six billion, seventy-four million, forty-one thousand, six hundred".