4242132312 has 64 divisors (see below), whose sum is σ = 11699510400. Its totient is φ = 1271043840.

The previous prime is 4242132239. The next prime is 4242132319. The reversal of 4242132312 is 2132312424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242132319) 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 15 ways as a sum of consecutive naturals, for example, 66778 + ... + 113769.

It is an arithmetic number, because the mean of its divisors is an integer number (182804850).

Almost surely, 2^4242132312 is an apocalyptic number.

It is an amenable number.

4242132312 is an abundant number, since it is smaller than the sum of its proper divisors (7457378088).

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

4242132312 is a wasteful number, since it uses less digits than its factorization.

4242132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180656 (or 180652 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4242132312 is about 65131.6536869747. The cubic root of 4242132312 is about 1618.8057438067.

Adding to 4242132312 its reverse (2132312424), we get a palindrome (6374444736).

The spelling of 4242132312 in words is "four billion, two hundred forty-two million, one hundred thirty-two thousand, three hundred twelve".