4201133310 has 192 divisors, whose sum is σ = 12851758080. Its totient is φ = 974001600.

The previous prime is 4201133297. The next prime is 4201133311. The reversal of 4201133310 is 133311024.

It is a super-3 number, since 3×4201133310³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201133311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 748615 + ... + 754205.

It is an arithmetic number, because the mean of its divisors is an integer number (66936240).

Almost surely, 2^4201133310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425879040).

4201133310 is an abundant number, since it is smaller than the sum of its proper divisors (8650624770).

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

4201133310 is a wasteful number, since it uses less digits than its factorization.

4201133310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4201133310 is about 64816.1500707964. The cubic root of 4201133310 is about 1613.5737531973.

Adding to 4201133310 its reverse (133311024), we get a palindrome (4334444334).

The spelling of 4201133310 in words is "four billion, two hundred one million, one hundred thirty-three thousand, three hundred ten".