4142131220 has 48 divisors (see below), whose sum is σ = 8750851200. Its totient is φ = 1646911104.

The previous prime is 4142131193. The next prime is 4142131223. The reversal of 4142131220 is 221312414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4142131192 and 4142131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142131223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2960081 + ... + 2961479.

It is an arithmetic number, because the mean of its divisors is an integer number (182309400).

Almost surely, 2^4142131220 is an apocalyptic number.

It is an amenable number.

4142131220 is an abundant number, since it is smaller than the sum of its proper divisors (4608719980).

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

4142131220 is a wasteful number, since it uses less digits than its factorization.

4142131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4142131220 is about 64359.3910785365. The cubic root of 4142131220 is about 1605.9842592672.

Adding to 4142131220 its reverse (221312414), we get a palindrome (4363443634).

The spelling of 4142131220 in words is "four billion, one hundred forty-two million, one hundred thirty-one thousand, two hundred twenty".