4200442312 has 64 divisors (see below), whose sum is σ = 8731800000. Its totient is φ = 1878439680.

The previous prime is 4200442201. The next prime is 4200442319. The reversal of 4200442312 is 2132440024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4200442319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1427739 + ... + 1430677.

It is an arithmetic number, because the mean of its divisors is an integer number (136434375).

Almost surely, 2^4200442312 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 4200442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365900000).

4200442312 is an abundant number, since it is smaller than the sum of its proper divisors (4531357688).

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

4200442312 is a wasteful number, since it uses less digits than its factorization.

4200442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4200442312 is about 64810.8194054048. The cubic root of 4200442312 is about 1613.4852820405.

Adding to 4200442312 its reverse (2132440024), we get a palindrome (6332882336).

The spelling of 4200442312 in words is "four billion, two hundred million, four hundred forty-two thousand, three hundred twelve".