4002244000 has 96 divisors (see below), whose sum is σ = 9897700176. Its totient is φ = 1590451200.

The previous prime is 4002243953. The next prime is 4002244013. The reversal of 4002244000 is 4422004.

4002244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 247495824 + 3754748176 = 15732^2 + 61276^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624814 + ... + 631186.

Almost surely, 2^4002244000 is an apocalyptic number.

4002244000 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 4002244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948850088).

4002244000 is an abundant number, since it is smaller than the sum of its proper divisors (5895456176).

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

4002244000 is a wasteful number, since it uses less digits than its factorization.

4002244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6555 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4002244000 is about 63263.2910936508. The cubic root of 4002244000 is about 1587.6978404724.

Adding to 4002244000 its reverse (4422004), we get a palindrome (4006666004).

The spelling of 4002244000 in words is "four billion, two million, two hundred forty-four thousand".