4142214120 has 64 divisors (see below), whose sum is σ = 13556341440. Its totient is φ = 1004172800.

The previous prime is 4142214103. The next prime is 4142214127. The reversal of 4142214120 is 214122414.

It is not an unprimeable number, because it can be changed into a prime (4142214127) 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, 1567701 + ... + 1570340.

It is an arithmetic number, because the mean of its divisors is an integer number (211817835).

Almost surely, 2^4142214120 is an apocalyptic number.

4142214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142214120 is an abundant number, since it is smaller than the sum of its proper divisors (9414127320).

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

4142214120 is a wasteful number, since it uses less digits than its factorization.

4142214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138066 (or 3138062 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4142214120 is about 64360.0351149687. The cubic root of 4142214120 is about 1605.9949731727.

Adding to 4142214120 its reverse (214122414), we get a palindrome (4356336534).

The spelling of 4142214120 in words is "four billion, one hundred forty-two million, two hundred fourteen thousand, one hundred twenty".