41482172160 has 864 divisors, whose sum is σ = 170751672000. Its totient is φ = 9220423680.

The previous prime is 41482172159. The next prime is 41482172167. The reversal of 41482172160 is 6127128414.

It is a happy number.

41482172160 is a `hidden beast` number, since 4 + 1 + 482 + 17 + 2 + 160 = 666.

It is a super-2 number, since 2×41482172160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41482172167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278403766 + ... + 278403914.

It is an arithmetic number, because the mean of its divisors is an integer number (197629250).

Almost surely, 2^41482172160 is an apocalyptic number.

41482172160 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 41482172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85375836000).

41482172160 is an abundant number, since it is smaller than the sum of its proper divisors (129269499840).

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

41482172160 is a wasteful number, since it uses less digits than its factorization.

41482172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 41482172160 in words is "forty-one billion, four hundred eighty-two million, one hundred seventy-two thousand, one hundred sixty".