4130202112000 has 208 divisors, whose sum is σ = 10339291445184. Its totient is φ = 1647022080000.

The previous prime is 4130202111977. The next prime is 4130202112067. The reversal of 4130202112000 is 2112020314.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169459815 + ... + 169484185.

It is an arithmetic number, because the mean of its divisors is an integer number (49708131948).

Almost surely, 2^{4130202112000} is an apocalyptic number.

4130202112000 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 4130202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169645722592).

4130202112000 is an abundant number, since it is smaller than the sum of its proper divisors (6209089333184).

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

4130202112000 is an equidigital number, since it uses as much as digits as its factorization.

4130202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24741 (or 24709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4130202112000 its reverse (2112020314), we get a palindrome (4132314132314).

The spelling of 4130202112000 in words is "four trillion, one hundred thirty billion, two hundred two million, one hundred twelve thousand".