4002002040 has 64 divisors (see below), whose sum is σ = 12393308160. Its totient is φ = 1032773760.

The previous prime is 4002002033. The next prime is 4002002057. The reversal of 4002002040 is 402002004.

It is a super-3 number, since 3×4002002040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534184 + ... + 541623.

It is an arithmetic number, because the mean of its divisors is an integer number (193645440).

Almost surely, 2^4002002040 is an apocalyptic number.

4002002040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002002040 is an abundant number, since it is smaller than the sum of its proper divisors (8391306120).

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

4002002040 is a wasteful number, since it uses less digits than its factorization.

4002002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075852 (or 1075848 counting only the distinct ones).

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

The square root of 4002002040 is about 63261.3787393225. The cubic root of 4002002040 is about 1587.6658444962.

Adding to 4002002040 its reverse (402002004), we get a palindrome (4404004044).

The spelling of 4002002040 in words is "four billion, two million, two thousand, forty", and thus it is an eban number.