4256110020096 has 960 divisors, whose sum is σ = 14399178393600. Its totient is φ = 1239017472000.

The previous prime is 4256110020049. The next prime is 4256110020161. The reversal of 4256110020096 is 6900200116524.

4256110020096 is a `hidden beast` number, since 4 + 2 + 561 + 1 + 0 + 0 + 2 + 0 + 0 + 96 = 666.

It is a super-2 number, since 2×4256110020096² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4256110020096.

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, 10941156670 + ... + 10941157058.

It is an arithmetic number, because the mean of its divisors is an integer number (14999144160).

Almost surely, 2^{4256110020096} 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 4256110020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199589196800).

4256110020096 is an abundant number, since it is smaller than the sum of its proper divisors (10143068373504).

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

4256110020096 is a wasteful number, since it uses less digits than its factorization.

4256110020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 4256110020096 in words is "four trillion, two hundred fifty-six billion, one hundred ten million, twenty thousand, ninety-six".