4443257040 has 160 divisors (see below), whose sum is σ = 14431219200. Its totient is φ = 1129390080.

The previous prime is 4443257017. The next prime is 4443257053. The reversal of 4443257040 is 407523444.

It is a junction number, because it is equal to n+sod(n) for n = 4443256992 and 4443257010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545800 + ... + 553880.

It is an arithmetic number, because the mean of its divisors is an integer number (90195120).

Almost surely, 2^4443257040 is an apocalyptic number.

4443257040 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 4443257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215609600).

4443257040 is an abundant number, since it is smaller than the sum of its proper divisors (9987962160).

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

4443257040 is a wasteful number, since it uses less digits than its factorization.

4443257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 4443257040 is about 66657.7605384399. The cubic root of 4443257040 is about 1643.9949502867.

The spelling of 4443257040 in words is "four billion, four hundred forty-three million, two hundred fifty-seven thousand, forty".