40181120 has 64 divisors (see below), whose sum is σ = 109792800. Its totient is φ = 13774848.

The previous prime is 40181117. The next prime is 40181159. The reversal of 40181120 is 2118104.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40181120² = 3229044808908800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 8964.

Almost surely, 2^40181120 is an apocalyptic number.

40181120 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 40181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54896400).

40181120 is an abundant number, since it is smaller than the sum of its proper divisors (69611680).

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

40181120 is an equidigital number, since it uses as much as digits as its factorization.

40181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 40181120 is about 6338.8579413014. The cubic root of 40181120 is about 342.5105969336.

Adding to 40181120 its reverse (2118104), we get a palindrome (42299224).

The spelling of 40181120 in words is "forty million, one hundred eighty-one thousand, one hundred twenty".