4289631984 has 120 divisors (see below), whose sum is σ = 13205200944. Its totient is φ = 1299830400.

The previous prime is 4289631977. The next prime is 4289631991. The reversal of 4289631984 is 4891369824.

It is an interprime number because it is at equal distance from previous prime (4289631977) and next prime (4289631991).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4289631984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180474 + ... + 202854.

Almost surely, 2^4289631984 is an apocalyptic number.

4289631984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4289631984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602600472).

4289631984 is an abundant number, since it is smaller than the sum of its proper divisors (8915568960).

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

4289631984 is a wasteful number, since it uses less digits than its factorization.

4289631984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22428 (or 22397 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4289631984 is about 65495.2821507015. The cubic root of 4289631984 is about 1624.8253204266.

The spelling of 4289631984 in words is "four billion, two hundred eighty-nine million, six hundred thirty-one thousand, nine hundred eighty-four".