4441590720 has 896 divisors, whose sum is σ = 19475988480. Its totient is φ = 930631680.

The previous prime is 4441590691. The next prime is 4441590737. The reversal of 4441590720 is 270951444.

It is a happy number.

4441590720 is a `hidden beast` number, since 4 + 4 + 41 + 590 + 7 + 20 = 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 127 ways as a sum of consecutive naturals, for example, 43122189 + ... + 43122291.

Almost surely, 2^4441590720 is an apocalyptic number.

4441590720 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 4441590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737994240).

4441590720 is an abundant number, since it is smaller than the sum of its proper divisors (15034397760).

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

4441590720 is a wasteful number, since it uses less digits than its factorization.

4441590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4441590720 is about 66645.2602965882. The cubic root of 4441590720 is about 1643.7894130603.

The spelling of 4441590720 in words is "four billion, four hundred forty-one million, five hundred ninety thousand, seven hundred twenty".