4434282720 has 576 divisors, whose sum is σ = 18553691520. Its totient is φ = 941359104.

The previous prime is 4434282709. The next prime is 4434282739. The reversal of 4434282720 is 272824344.

4434282720 is a `hidden beast` number, since 44 + 342 + 8 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19363566 + ... + 19363794.

It is an arithmetic number, because the mean of its divisors is an integer number (32211270).

Almost surely, 2^4434282720 is an apocalyptic number.

4434282720 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 4434282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276845760).

4434282720 is an abundant number, since it is smaller than the sum of its proper divisors (14119408800).

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

4434282720 is a wasteful number, since it uses less digits than its factorization.

4434282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4434282720 is about 66590.4101203769. The cubic root of 4434282720 is about 1642.8873783111.

The spelling of 4434282720 in words is "four billion, four hundred thirty-four million, two hundred eighty-two thousand, seven hundred twenty".