4144686084 has 240 divisors, whose sum is σ = 13630167936. Its totient is φ = 1075757760.

The previous prime is 4144686059. The next prime is 4144686101. The reversal of 4144686084 is 4806864414.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3018022 + ... + 3019394.

Almost surely, 2^4144686084 is an apocalyptic number.

4144686084 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 4144686084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815083968).

4144686084 is an abundant number, since it is smaller than the sum of its proper divisors (9485481852).

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

4144686084 is a wasteful number, since it uses less digits than its factorization.

4144686084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4144686084 is about 64379.2364353601. The cubic root of 4144686084 is about 1606.3143814394.

The spelling of 4144686084 in words is "four billion, one hundred forty-four million, six hundred eighty-six thousand, eighty-four".