41131676256 has 576 divisors, whose sum is σ = 135052323840. Its totient is φ = 10815078400.

The previous prime is 41131676251. The next prime is 41131676263. The reversal of 41131676256 is 65267613114.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41131676251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875142025 + ... + 875142071.

It is an arithmetic number, because the mean of its divisors is an integer number (234465840).

Almost surely, 2^41131676256 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 41131676256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67526161920).

41131676256 is an abundant number, since it is smaller than the sum of its proper divisors (93920647584).

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

41131676256 is a wasteful number, since it uses less digits than its factorization.

41131676256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 41131676256 in words is "forty-one billion, one hundred thirty-one million, six hundred seventy-six thousand, two hundred fifty-six".