4102203200004 has 576 divisors, whose sum is σ = 13621569454080. Its totient is φ = 1044271388160.

The previous prime is 4102203199999. The next prime is 4102203200021. The reversal of 4102203200004 is 4000023022014.

4102203200004 is a `hidden beast` number, since 410 + 220 + 32 + 0 + 0 + 0 + 0 + 4 = 666.

4102203200004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4102203200004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1833795574 + ... + 1833797810.

It is an arithmetic number, because the mean of its divisors is an integer number (23648558080).

Almost surely, 2^{4102203200004} 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 4102203200004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810784727040).

4102203200004 is an abundant number, since it is smaller than the sum of its proper divisors (9519366254076).

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

4102203200004 is a wasteful number, since it uses less digits than its factorization.

4102203200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4102203200004 its reverse (4000023022014), we get a palindrome (8102226222018).

The spelling of 4102203200004 in words is "four trillion, one hundred two billion, two hundred three million, two hundred thousand, four".