41545901160 has 320 divisors, whose sum is σ = 145324523520. Its totient is φ = 10633835520.

The previous prime is 41545901147. The next prime is 41545901179. The reversal of 41545901160 is 6110954514.

41545901160 is a `hidden beast` number, since 4 + 1 + 5 + 4 + 590 + 1 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12754252 + ... + 12757508.

It is an arithmetic number, because the mean of its divisors is an integer number (454139136).

Almost surely, 2^41545901160 is an apocalyptic number.

41545901160 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 41545901160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72662261760).

41545901160 is an abundant number, since it is smaller than the sum of its proper divisors (103778622360).

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

41545901160 is a wasteful number, since it uses less digits than its factorization.

41545901160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 41545901160 in words is "forty-one billion, five hundred forty-five million, nine hundred one thousand, one hundred sixty".