4414120984 has 64 divisors (see below), whose sum is σ = 10202955840. Its totient is φ = 1743413760.

The previous prime is 4414120913. The next prime is 4414121051. The reversal of 4414120984 is 4890214144.

It is a super-2 number, since 2×4414120984² = 38968928122778256512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476622 + ... + 485794.

It is an arithmetic number, because the mean of its divisors is an integer number (159421185).

Almost surely, 2^4414120984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414120984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101477920).

4414120984 is an abundant number, since it is smaller than the sum of its proper divisors (5788834856).

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

4414120984 is a wasteful number, since it uses less digits than its factorization.

4414120984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9860 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 4414120984 is about 66438.8514650878. The cubic root of 4414120984 is about 1640.3936423711.

The spelling of 4414120984 in words is "four billion, four hundred fourteen million, one hundred twenty thousand, nine hundred eighty-four".