4001582080 has 44 divisors (see below), whose sum is σ = 9599119920. Its totient is φ = 1600630784.

The previous prime is 4001582071. The next prime is 4001582093. The reversal of 4001582080 is 802851004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385660 + ... + 395899.

Almost surely, 2^4001582080 is an apocalyptic number.

4001582080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001582080 is an abundant number, since it is smaller than the sum of its proper divisors (5597537840).

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

4001582080 is an equidigital number, since it uses as much as digits as its factorization.

4001582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781584 (or 781566 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 4001582080 is about 63258.0594074779. The cubic root of 4001582080 is about 1587.6103073371.

The spelling of 4001582080 in words is "four billion, one million, five hundred eighty-two thousand, eighty".