4002008840 has 64 divisors (see below), whose sum is σ = 9062928000. Its totient is φ = 1590464512.

The previous prime is 4002008833. The next prime is 4002008849. The reversal of 4002008840 is 488002004.

4002008840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4002008849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7956029 + ... + 7956531.

It is an arithmetic number, because the mean of its divisors is an integer number (141608250).

Almost surely, 2^4002008840 is an apocalyptic number.

4002008840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002008840 is an abundant number, since it is smaller than the sum of its proper divisors (5060919160).

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

4002008840 is a wasteful number, since it uses less digits than its factorization.

4002008840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4002008840 is about 63261.4324845715. The cubic root of 4002008840 is about 1587.6667437229. Note that the first 3 decimals are identical.

The spelling of 4002008840 in words is "four billion, two million, eight thousand, eight hundred forty".