40095120 has 160 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 9676800.

The previous prime is 40095109. The next prime is 40095127. The reversal of 40095120 is 2159004.

It is not an unprimeable number, because it can be changed into a prime (40095127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221430 + ... + 221610.

Almost surely, 2^40095120 is an apocalyptic number.

40095120 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 40095120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

40095120 is an abundant number, since it is smaller than the sum of its proper divisors (96396144).

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

40095120 is a wasteful number, since it uses less digits than its factorization.

40095120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 40095120 is about 6332.0707513419. The cubic root of 40095120 is about 342.2660629230.

The spelling of 40095120 in words is "forty million, ninety-five thousand, one hundred twenty".