4002858000 has 200 divisors, whose sum is σ = 14459204760. Its totient is φ = 1067385600.

The previous prime is 4002857953. The next prime is 4002858007. The reversal of 4002858000 is 8582004.

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 3941830656 = 7812^2 + 62784^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4002858007) 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, 149646 + ... + 174354.

Almost surely, 2^4002858000 is an apocalyptic number.

4002858000 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 4002858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229602380).

4002858000 is an abundant number, since it is smaller than the sum of its proper divisors (10456346760).

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

4002858000 is a wasteful number, since it uses less digits than its factorization.

4002858000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24744 (or 24719 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4002858000 is about 63268.1436427528. The cubic root of 4002858000 is about 1587.7790279784.

The spelling of 4002858000 in words is "four billion, two million, eight hundred fifty-eight thousand".