4442460440 has 64 divisors (see below), whose sum is σ = 10928576160. Its totient is φ = 1611832320.

The previous prime is 4442460431. The next prime is 4442460467. The reversal of 4442460440 is 440642444.

It is a junction number, because it is equal to n+sod(n) for n = 4442460397 and 4442460406.

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, 190034 + ... + 212126.

Almost surely, 2^4442460440 is an apocalyptic number.

4442460440 is a gapful number since it is divisible by the number (40) 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 4442460440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464288080).

4442460440 is an abundant number, since it is smaller than the sum of its proper divisors (6486115720).

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

4442460440 is a wasteful number, since it uses less digits than its factorization.

4442460440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22572 (or 22568 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The square root of 4442460440 is about 66651.7849723471. The cubic root of 4442460440 is about 1643.8966976883.

The spelling of 4442460440 in words is "four billion, four hundred forty-two million, four hundred sixty thousand, four hundred forty".