4002302124200 has 96 divisors (see below), whose sum is σ = 9454986092160. Its totient is φ = 1575231820800.

The previous prime is 4002302124187. The next prime is 4002302124203. The reversal of 4002302124200 is 24212032004.

It is a super-3 number, since 3×4002302124200³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4002302124203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11635889 + ... + 11974911.

It is an arithmetic number, because the mean of its divisors is an integer number (98489438460).

Almost surely, 2^{4002302124200} is an apocalyptic number.

4002302124200 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 4002302124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727493046080).

4002302124200 is an abundant number, since it is smaller than the sum of its proper divisors (5452683967960).

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

4002302124200 is a wasteful number, since it uses less digits than its factorization.

4002302124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339987 (or 339978 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4002302124200 its reverse (24212032004), we get a palindrome (4026514156204).

The spelling of 4002302124200 in words is "four trillion, two billion, three hundred two million, one hundred twenty-four thousand, two hundred".