4242144312 has 112 divisors (see below), whose sum is σ = 13629360240. Its totient is φ = 1212029568.

The previous prime is 4242144287. The next prime is 4242144323. The reversal of 4242144312 is 2134412424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11133 + ... + 92780.

Almost surely, 2^4242144312 is an apocalyptic number.

4242144312 is a gapful number since it is divisible by the number (42) 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 4242144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814680120).

4242144312 is an abundant number, since it is smaller than the sum of its proper divisors (9387215928).

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

4242144312 is a wasteful number, since it uses less digits than its factorization.

4242144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103944 (or 103925 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4242144312 is about 65131.7458080159. The cubic root of 4242144312 is about 1618.8072702128.

Adding to 4242144312 its reverse (2134412424), we get a palindrome (6376556736).

The spelling of 4242144312 in words is "four billion, two hundred forty-two million, one hundred forty-four thousand, three hundred twelve".