4142000 has 80 divisors (see below), whose sum is σ = 10639200. Its totient is φ = 1555200.

The previous prime is 4141967. The next prime is 4142011. The reversal of 4142000 is 2414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37946 + ... + 38054.

It is an arithmetic number, because the mean of its divisors is an integer number (132990).

Almost surely, 2^4142000 is an apocalyptic number.

4142000 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 4142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319600).

4142000 is an abundant number, since it is smaller than the sum of its proper divisors (6497200).

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

4142000 is a wasteful number, since it uses less digits than its factorization.

4142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4142000 is about 2035.1904087824. The cubic root of 4142000 is about 160.5967300246.

Adding to 4142000 its reverse (2414), we get a palindrome (4144414).

The spelling of 4142000 in words is "four million, one hundred forty-two thousand".