4144557984 has 72 divisors (see below), whose sum is σ = 12655718208. Its totient is φ = 1184158080.

The previous prime is 4144557973. The next prime is 4144558007. The reversal of 4144557984 is 4897554414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435832 + ... + 445239.

It is an arithmetic number, because the mean of its divisors is an integer number (175773864).

Almost surely, 2^4144557984 is an apocalyptic number.

It is an amenable number.

4144557984 is an abundant number, since it is smaller than the sum of its proper divisors (8511160224).

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

4144557984 is a wasteful number, since it uses less digits than its factorization.

4144557984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881098 (or 881083 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 4144557984 is about 64378.2415416886. The cubic root of 4144557984 is about 1606.2978324585.

The spelling of 4144557984 in words is "four billion, one hundred forty-four million, five hundred fifty-seven thousand, nine hundred eighty-four".