40182120 has 192 divisors, whose sum is σ = 145454400. Its totient is φ = 9538560.

The previous prime is 40182119. The next prime is 40182151. The reversal of 40182120 is 2128104.

It is a super-2 number, since 2×40182120² = 3229205535388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40182093 and 40182102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289011 + ... + 289149.

It is an arithmetic number, because the mean of its divisors is an integer number (757575).

Almost surely, 2^40182120 is an apocalyptic number.

40182120 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 40182120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72727200).

40182120 is an abundant number, since it is smaller than the sum of its proper divisors (105272280).

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

40182120 is a wasteful number, since it uses less digits than its factorization.

40182120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40182120 is about 6338.9368193728. The cubic root of 40182120 is about 342.5134382992.

The spelling of 40182120 in words is "forty million, one hundred eighty-two thousand, one hundred twenty".