4001289320 has 256 divisors, whose sum is σ = 11311280640. Its totient is φ = 1242759168.

The previous prime is 4001289311. The next prime is 4001289361. The reversal of 4001289320 is 239821004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23128754 + ... + 23128926.

It is an arithmetic number, because the mean of its divisors is an integer number (44184690).

Almost surely, 2^4001289320 is an apocalyptic number.

4001289320 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 4001289320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655640320).

4001289320 is an abundant number, since it is smaller than the sum of its proper divisors (7309991320).

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

4001289320 is a wasteful number, since it uses less digits than its factorization.

4001289320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4001289320 is about 63255.7453517070. The cubic root of 4001289320 is about 1587.5715893068.

The spelling of 4001289320 in words is "four billion, one million, two hundred eighty-nine thousand, three hundred twenty".