4000884440 has 32 divisors (see below), whose sum is σ = 10287989280. Its totient is φ = 1371731712.

The previous prime is 4000884361. The next prime is 4000884443. The reversal of 4000884440 is 444880004.

It is a happy number.

It is a super-2 number, since 2×4000884440² = 32014152604468227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4000884397 and 4000884406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000884443) 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, 7144157 + ... + 7144716.

It is an arithmetic number, because the mean of its divisors is an integer number (321499665).

Almost surely, 2^4000884440 is an apocalyptic number.

4000884440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000884440 is an abundant number, since it is smaller than the sum of its proper divisors (6287104840).

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

4000884440 is a wasteful number, since it uses less digits than its factorization.

4000884440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14288891 (or 14288887 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4000884440 is about 63252.5449290382. The cubic root of 4000884440 is about 1587.5180400951.

The spelling of 4000884440 in words is "four billion, eight hundred eighty-four thousand, four hundred forty".