40042000 has 40 divisors (see below), whose sum is σ = 96826392. Its totient is φ = 16016000.

The previous prime is 40041997. The next prime is 40042007. The reversal of 40042000 is 24004.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 30824704 = 3036^2 + 5552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40042007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8011 + ... + 12010.

Almost surely, 2^40042000 is an apocalyptic number.

40042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042000 is an abundant number, since it is smaller than the sum of its proper divisors (56784392).

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

40042000 is a wasteful number, since it uses less digits than its factorization.

40042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20044 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 40042000 is about 6327.8748407344. The cubic root of 40042000 is about 342.1148457816.

Adding to 40042000 its reverse (24004), we get a palindrome (40066004).

The spelling of 40042000 in words is "forty million, forty-two thousand", and thus it is an eban number.