43102112256 has 960 divisors, whose sum is σ = 166256323200. Its totient is φ = 10924720128.

The previous prime is 43102112233. The next prime is 43102112269. The reversal of 43102112256 is 65221120134.

43102112256 is a `hidden beast` number, since 431 + 0 + 2 + 1 + 1 + 225 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 218792350 + ... + 218792546.

It is an arithmetic number, because the mean of its divisors is an integer number (173183670).

Almost surely, 2^43102112256 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 43102112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83128161600).

43102112256 is an abundant number, since it is smaller than the sum of its proper divisors (123154210944).

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

43102112256 is a wasteful number, since it uses less digits than its factorization.

43102112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 43102112256 in words is "forty-three billion, one hundred two million, one hundred twelve thousand, two hundred fifty-six".