4142840 has 64 divisors (see below), whose sum is σ = 10402560. Its totient is φ = 1474560.

The previous prime is 4142813. The next prime is 4142857. The reversal of 4142840 is 482414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15992 + ... + 16248.

It is an arithmetic number, because the mean of its divisors is an integer number (162540).

Almost surely, 2^4142840 is an apocalyptic number.

4142840 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 4142840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201280).

4142840 is an abundant number, since it is smaller than the sum of its proper divisors (6259720).

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

4142840 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (4142839) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (308).

4142840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4142840 is about 2035.3967672176. The cubic root of 4142840 is about 160.6075856607.

The spelling of 4142840 in words is "four million, one hundred forty-two thousand, eight hundred forty".