4001120256 has 240 divisors, whose sum is σ = 12645440640. Its totient is φ = 1101004800.

The previous prime is 4001120251. The next prime is 4001120267. The reversal of 4001120256 is 6520211004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4001120251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9977656 + ... + 9978056.

It is an arithmetic number, because the mean of its divisors is an integer number (52689336).

Almost surely, 2^4001120256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322720320).

4001120256 is an abundant number, since it is smaller than the sum of its proper divisors (8644320384).

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

4001120256 is an equidigital number, since it uses as much as digits as its factorization.

4001120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4001120256 is about 63254.4089846708. The cubic root of 4001120256 is about 1587.5492294321.

The spelling of 4001120256 in words is "four billion, one million, one hundred twenty thousand, two hundred fifty-six".