41050944000 has 1440 divisors, whose sum is σ = 176593697280. Its totient is φ = 9123840000.

The previous prime is 41050943993. The next prime is 41050944043. The reversal of 41050944000 is 44905014.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×41050944000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1324223985 + ... + 1324224015.

It is an arithmetic number, because the mean of its divisors is an integer number (122634512).

Almost surely, 2^41050944000 is an apocalyptic number.

41050944000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41050944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88296848640).

41050944000 is an abundant number, since it is smaller than the sum of its proper divisors (135542753280).

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

41050944000 is a wasteful number, since it uses less digits than its factorization.

41050944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 41050944000 in words is "forty-one billion, fifty million, nine hundred forty-four thousand".