4444268640 has 144 divisors (see below), whose sum is σ = 16285156272. Its totient is φ = 1015827456.

The previous prime is 4444268623. The next prime is 4444268657. The reversal of 4444268640 is 468624444.

It is an interprime number because it is at equal distance from previous prime (4444268623) and next prime (4444268657).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4444268592 and 4444268601.

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 23 ways as a sum of consecutive naturals, for example, 70959 + ... + 117998.

It is an arithmetic number, because the mean of its divisors is an integer number (113091363).

Almost surely, 2^4444268640 is an apocalyptic number.

4444268640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444268640 is an abundant number, since it is smaller than the sum of its proper divisors (11840887632).

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

4444268640 is a wasteful number, since it uses less digits than its factorization.

4444268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188989 (or 188974 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The square root of 4444268640 is about 66665.3481202941. The cubic root of 4444268640 is about 1644.1197040490.

The spelling of 4444268640 in words is "four billion, four hundred forty-four million, two hundred sixty-eight thousand, six hundred forty".