4002838560 has 240 divisors, whose sum is σ = 16145148096. Its totient is φ = 914913792.

The previous prime is 4002838549. The next prime is 4002838561. The reversal of 4002838560 is 658382004.

4002838560 is a `hidden beast` number, since 40 + 0 + 28 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4002838561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68659 + ... + 112781.

Almost surely, 2^4002838560 is an apocalyptic number.

4002838560 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 4002838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072574048).

4002838560 is an abundant number, since it is smaller than the sum of its proper divisors (12142309536).

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

4002838560 is a wasteful number, since it uses less digits than its factorization.

4002838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44157 (or 44140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4002838560 is about 63267.9900107471. The cubic root of 4002838560 is about 1587.7764576088.

The spelling of 4002838560 in words is "four billion, two million, eight hundred thirty-eight thousand, five hundred sixty".