41256442234944 has 1680 divisors, whose sum is σ = 143144899516080. Its totient is φ = 11691680071680.

The previous prime is 41256442234939. The next prime is 41256442234949. The reversal of 41256442234944 is 44943224465214.

41256442234944 is a `hidden beast` number, since 4 + 1 + 2 + 564 + 4 + 2 + 2 + 34 + 9 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (41256442234939) and next prime (41256442234949).

It can be written as a sum of positive squares in 8 ways, for example, as 74856960000 + 41181585274944 = 273600^2 + 6417288^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41256442234949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 89493366874 + ... + 89493367334.

It is an arithmetic number, because the mean of its divisors is an integer number (85205297331).

Almost surely, 2^{41256442234944} 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 41256442234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71572449758040).

41256442234944 is an abundant number, since it is smaller than the sum of its proper divisors (101888457281136).

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

41256442234944 is a wasteful number, since it uses less digits than its factorization.

41256442234944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 628 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 54.

The spelling of 41256442234944 in words is "forty-one trillion, two hundred fifty-six billion, four hundred forty-two million, two hundred thirty-four thousand, nine hundred forty-four".