41145850368 has 960 divisors, whose sum is σ = 156739968000. Its totient is φ = 10576355328.

The previous prime is 41145850331. The next prime is 41145850373. The reversal of 41145850368 is 86305854114.

41145850368 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 585 + 0 + 3 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296013243 + ... + 296013381.

It is an arithmetic number, because the mean of its divisors is an integer number (163270800).

Almost surely, 2^41145850368 is an apocalyptic number.

41145850368 is a gapful number since it is divisible by the number (48) 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 41145850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984000).

41145850368 is an abundant number, since it is smaller than the sum of its proper divisors (115594117632).

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

41145850368 is a wasteful number, since it uses less digits than its factorization.

41145850368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 41145850368 in words is "forty-one billion, one hundred forty-five million, eight hundred fifty thousand, three hundred sixty-eight".