4200113302000 has 480 divisors, whose sum is σ = 12956085043200. Its totient is φ = 1302208320000.

The previous prime is 4200113301977. The next prime is 4200113302019. The reversal of 4200113302000 is 2033110024.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 205887801 + ... + 205908199.

It is an arithmetic number, because the mean of its divisors is an integer number (26991843840).

Almost surely, 2^{4200113302000} is an apocalyptic number.

4200113302000 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 4200113302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478042521600).

4200113302000 is an abundant number, since it is smaller than the sum of its proper divisors (8755971741200).

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

4200113302000 is a wasteful number, since it uses less digits than its factorization.

4200113302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20638 (or 20615 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 4200113302000 its reverse (2033110024), we get a palindrome (4202146412024).

The spelling of 4200113302000 in words is "four trillion, two hundred billion, one hundred thirteen million, three hundred two thousand".