41335241256 has 96 divisors (see below), whose sum is σ = 114764406120. Its totient is φ = 13432473600.

The previous prime is 41335241251. The next prime is 41335241261. The reversal of 41335241256 is 65214253314.

41335241256 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 524 + 125 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41335241251) and next prime (41335241261).

It can be written as a sum of positive squares in 4 ways, for example, as 33984922500 + 7350318756 = 184350^2 + 85734^2 .

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 41335241256.

It is not an unprimeable number, because it can be changed into a prime (41335241251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4757236 + ... + 4765916.

Almost surely, 2^41335241256 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 41335241256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57382203060).

41335241256 is an abundant number, since it is smaller than the sum of its proper divisors (73429164864).

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

41335241256 is a wasteful number, since it uses less digits than its factorization.

41335241256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347 (or 10340 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 41335241256 in words is "forty-one billion, three hundred thirty-five million, two hundred forty-one thousand, two hundred fifty-six".