4003290720 has 288 divisors, whose sum is σ = 16050381984. Its totient is φ = 895795200.

The previous prime is 4003290689. The next prime is 4003290721. The reversal of 4003290720 is 270923004.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003290721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196200 + ... + 215640.

It is an arithmetic number, because the mean of its divisors is an integer number (55730493).

Almost surely, 2^4003290720 is an apocalyptic number.

4003290720 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 4003290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025190992).

4003290720 is an abundant number, since it is smaller than the sum of its proper divisors (12047091264).

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

4003290720 is a wasteful number, since it uses less digits than its factorization.

4003290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19486 (or 19475 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4003290720 is about 63271.5632808294. The cubic root of 4003290720 is about 1587.8362403489.

The spelling of 4003290720 in words is "four billion, three million, two hundred ninety thousand, seven hundred twenty".