4142760 has 128 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 988416.

The previous prime is 4142753. The next prime is 4142767. The reversal of 4142760 is 672414.

It is an interprime number because it is at equal distance from previous prime (4142753) and next prime (4142767).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4142760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52401 + ... + 52479.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

Almost surely, 2^4142760 is an apocalyptic number.

4142760 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 4142760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

4142760 is an abundant number, since it is smaller than the sum of its proper divisors (9681240).

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

4142760 is a wasteful number, since it uses less digits than its factorization.

4142760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4142760 is about 2035.3771149347. The cubic root of 4142760 is about 160.6065518538.

The spelling of 4142760 in words is "four million, one hundred forty-two thousand, seven hundred sixty".