40042002 has 128 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 9354240.

The previous prime is 40041997. The next prime is 40042007. The reversal of 40042002 is 20024004.

40042002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40041997) and next prime (40042007).

It is not an unprimeable number, because it can be changed into a prime (40042007) 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 63 ways as a sum of consecutive naturals, for example, 354298 + ... + 354410.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^40042002 is an apocalyptic number.

40042002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40042002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

40042002 is an abundant number, since it is smaller than the sum of its proper divisors (70273518).

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

40042002 is a wasteful number, since it uses less digits than its factorization.

40042002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40042002 is about 6327.8749987654. The cubic root of 40042002 is about 342.1148514776.

Adding to 40042002 its reverse (20024004), we get a palindrome (60066006).

It can be divided in two parts, 4004 and 2002, that added together give a palindrome (6006).

The spelling of 40042002 in words is "forty million, forty-two thousand, two", and thus it is an eban number.