4142313120 has 384 divisors, whose sum is σ = 15136450560. Its totient is φ = 941690880.

The previous prime is 4142313089. The next prime is 4142313151. The reversal of 4142313120 is 213132414.

It is an interprime number because it is at equal distance from previous prime (4142313089) and next prime (4142313151).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15750109 + ... + 15750371.

It is an arithmetic number, because the mean of its divisors is an integer number (39417840).

Almost surely, 2^4142313120 is an apocalyptic number.

4142313120 is a gapful number since it is divisible by the number (40) 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 4142313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568225280).

4142313120 is an abundant number, since it is smaller than the sum of its proper divisors (10994137440).

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

4142313120 is a wasteful number, since it uses less digits than its factorization.

4142313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4142313120 is about 64360.8042212028. The cubic root of 4142313120 is about 1606.0077676373.

Adding to 4142313120 its reverse (213132414), we get a palindrome (4355445534).

The spelling of 4142313120 in words is "four billion, one hundred forty-two million, three hundred thirteen thousand, one hundred twenty".