41981160 has 128 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 9719808.

The previous prime is 41981123. The next prime is 41981179. The reversal of 41981160 is 6118914.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25729 + ... + 27311.

It is an arithmetic number, because the mean of its divisors is an integer number (1122660).

Almost surely, 2^41981160 is an apocalyptic number.

41981160 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 41981160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

41981160 is an abundant number, since it is smaller than the sum of its proper divisors (101719320).

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

41981160 is a wasteful number, since it uses less digits than its factorization.

41981160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 41981160 is about 6479.2869978108. The cubic root of 41981160 is about 347.5506818406.

The spelling of 41981160 in words is "forty-one million, nine hundred eighty-one thousand, one hundred sixty".