41261864832 has 256 divisors, whose sum is σ = 125718835200. Its totient is φ = 13313009664.

The previous prime is 41261864821. The next prime is 41261864837. The reversal of 41261864832 is 23846816214.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41261864837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28514733 + ... + 28516179.

It is an arithmetic number, because the mean of its divisors is an integer number (491089200).

Almost surely, 2^41261864832 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 41261864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62859417600).

41261864832 is an abundant number, since it is smaller than the sum of its proper divisors (84456970368).

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

41261864832 is a wasteful number, since it uses less digits than its factorization.

41261864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1712 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 41261864832 in words is "forty-one billion, two hundred sixty-one million, eight hundred sixty-four thousand, eight hundred thirty-two".