4444412920 has 64 divisors (see below), whose sum is σ = 10332241920. Its totient is φ = 1719494784.

The previous prime is 4444412909. The next prime is 4444412923. The reversal of 4444412920 is 292144444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444412923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164617 + ... + 189703.

It is an arithmetic number, because the mean of its divisors is an integer number (161441280).

Almost surely, 2^4444412920 is an apocalyptic number.

4444412920 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 4444412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166120960).

4444412920 is an abundant number, since it is smaller than the sum of its proper divisors (5887829000).

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

4444412920 is a wasteful number, since it uses less digits than its factorization.

4444412920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25244 (or 25240 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 4444412920 is about 66666.4302329141. The cubic root of 4444412920 is about 1644.1374955795.

The spelling of 4444412920 in words is "four billion, four hundred forty-four million, four hundred twelve thousand, nine hundred twenty".