4121795136256 has 288 divisors, whose sum is σ = 9749441439360. Its totient is φ = 1702738132992.

The previous prime is 4121795136229. The next prime is 4121795136269. The reversal of 4121795136256 is 6526315971214.

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, 2031440650 + ... + 2031442678.

It is an arithmetic number, because the mean of its divisors is an integer number (33852227220).

Almost surely, 2^{4121795136256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121795136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874720719680).

4121795136256 is an abundant number, since it is smaller than the sum of its proper divisors (5627646303104).

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

4121795136256 is a wasteful number, since it uses less digits than its factorization.

4121795136256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2457 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 4121795136256 in words is "four trillion, one hundred twenty-one billion, seven hundred ninety-five million, one hundred thirty-six thousand, two hundred fifty-six".