40038120 has 48 divisors (see below), whose sum is σ = 130125060. Its totient is φ = 10676736.

The previous prime is 40038109. The next prime is 40038133. The reversal of 40038120 is 2183004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39765636 + 272484 = 6306^2 + 522^2 .

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 = 40038093 and 40038102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55249 + ... + 55968.

Almost surely, 2^40038120 is an apocalyptic number.

40038120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40038120 is an abundant number, since it is smaller than the sum of its proper divisors (90086940).

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

40038120 is a wasteful number, since it uses less digits than its factorization.

40038120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111234 (or 111227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40038120 is about 6327.5682532866. The cubic root of 40038120 is about 342.1037953140.

The spelling of 40038120 in words is "forty million, thirty-eight thousand, one hundred twenty".