41845262004 has 288 divisors, whose sum is σ = 134319144960. Its totient is φ = 10690009344.

The previous prime is 41845261993. The next prime is 41845262021. The reversal of 41845262004 is 40026254814.

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 41845262004.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17889067 + ... + 17891405.

It is an arithmetic number, because the mean of its divisors is an integer number (466385920).

Almost surely, 2^41845262004 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 41845262004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67159572480).

41845262004 is an abundant number, since it is smaller than the sum of its proper divisors (92473882956).

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

41845262004 is a wasteful number, since it uses less digits than its factorization.

41845262004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 41845262004 in words is "forty-one billion, eight hundred forty-five million, two hundred sixty-two thousand, four".