40042120 has 96 divisors (see below), whose sum is σ = 98755200. Its totient is φ = 14599296.

The previous prime is 40042109. The next prime is 40042129. The reversal of 40042120 is 2124004.

40042120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40042120.

It is not an unprimeable number, because it can be changed into a prime (40042129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678651 + ... + 678709.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^40042120 is an apocalyptic number.

40042120 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 40042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377600).

40042120 is an abundant number, since it is smaller than the sum of its proper divisors (58713080).

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

40042120 is a wasteful number, since it uses less digits than its factorization.

40042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40042120 is about 6327.8843225837. The cubic root of 40042120 is about 342.1151875373.

Adding to 40042120 its reverse (2124004), we get a palindrome (42166124).

The spelling of 40042120 in words is "forty million, forty-two thousand, one hundred twenty".