4102202432000 has 320 divisors, whose sum is σ = 10528089302016. Its totient is φ = 1593110937600.

The previous prime is 4102202431969. The next prime is 4102202432039. The reversal of 4102202432000 is 2342022014.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295294417 + ... + 1295297583.

Almost surely, 2^{4102202432000} is an apocalyptic number.

4102202432000 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 4102202432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264044651008).

4102202432000 is an abundant number, since it is smaller than the sum of its proper divisors (6425886870016).

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

4102202432000 is an equidigital number, since it uses as much as digits as its factorization.

4102202432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3758 counting only the distinct ones).

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

Adding to 4102202432000 its reverse (2342022014), we get a palindrome (4104544454014).

The spelling of 4102202432000 in words is "four trillion, one hundred two billion, two hundred two million, four hundred thirty-two thousand".