4401889920 has 160 divisors (see below), whose sum is σ = 15720128820. Its totient is φ = 1173823488.

The previous prime is 4401889913. The next prime is 4401889967. The reversal of 4401889920 is 299881044.

4401889920 is a `hidden beast` number, since 440 + 188 + 9 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4171093056 + 230796864 = 64584^2 + 15192^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9384 + ... + 94296.

Almost surely, 2^4401889920 is an apocalyptic number.

4401889920 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 4401889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860064410).

4401889920 is an abundant number, since it is smaller than the sum of its proper divisors (11318238900).

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

4401889920 is an equidigital number, since it uses as much as digits as its factorization.

4401889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84944 (or 84923 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4401889920 is about 66346.7400857043. The cubic root of 4401889920 is about 1638.8771215055.

The spelling of 4401889920 in words is "four billion, four hundred one million, eight hundred eighty-nine thousand, nine hundred twenty".