4002114300 has 72 divisors (see below), whose sum is σ = 11602642800. Its totient is φ = 1065093120.

The previous prime is 4002114299. The next prime is 4002114301. The reversal of 4002114300 is 34112004.

It is an interprime number because it is at equal distance from previous prime (4002114299) and next prime (4002114301).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4002114300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002114301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139596 + ... + 165804.

Almost surely, 2^4002114300 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 4002114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801321400).

4002114300 is an abundant number, since it is smaller than the sum of its proper divisors (7600528500).

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

4002114300 is a wasteful number, since it uses less digits than its factorization.

4002114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26735 (or 26728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4002114300 is about 63262.2660043094. The cubic root of 4002114300 is about 1587.6806895412.

Adding to 4002114300 its reverse (34112004), we get a palindrome (4036226304).

The spelling of 4002114300 in words is "four billion, two million, one hundred fourteen thousand, three hundred".