40182912 has 256 divisors, whose sum is σ = 148838400. Its totient is φ = 10368000.

The previous prime is 40182907. The next prime is 40182931. The reversal of 40182912 is 21928104.

It is a super-2 number, since 2×40182912² = 3229332833599488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 266037 + ... + 266187.

It is an arithmetic number, because the mean of its divisors is an integer number (581400).

Almost surely, 2^40182912 is an apocalyptic number.

40182912 is a gapful number since it is divisible by the number (42) 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 40182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419200).

40182912 is an abundant number, since it is smaller than the sum of its proper divisors (108655488).

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

40182912 is a wasteful number, since it uses less digits than its factorization.

40182912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 40182912 is about 6338.9992901088. Note that the first 3 decimals coincide. The cubic root of 40182912 is about 342.5156886273.

The spelling of 40182912 in words is "forty million, one hundred eighty-two thousand, nine hundred twelve".