41426831264 has 144 divisors (see below), whose sum is σ = 102443329800. Its totient is φ = 16345276416.

The previous prime is 41426831263. The next prime is 41426831273. The reversal of 41426831264 is 46213862414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31762368400 + 9664462864 = 178220^2 + 98308^2 .

It is not an unprimeable number, because it can be changed into a prime (41426831263) 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 23 ways as a sum of consecutive naturals, for example, 8334572 + ... + 8339540.

Almost surely, 2^41426831264 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 41426831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51221664900).

41426831264 is an abundant number, since it is smaller than the sum of its proper divisors (61016498536).

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

41426831264 is a wasteful number, since it uses less digits than its factorization.

41426831264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5400 counting only the distinct ones).

The product of its digits is 221184, while the sum is 41.

The spelling of 41426831264 in words is "forty-one billion, four hundred twenty-six million, eight hundred thirty-one thousand, two hundred sixty-four".