4142600 has 96 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 1286400.

The previous prime is 4142591. The next prime is 4142609. The reversal of 4142600 is 62414.

4142600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4142591) and next prime (4142609).

It is a super-2 number, since 2×4142600² = 34322269520000, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4142609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15266 + ... + 15534.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

Almost surely, 2^4142600 is an apocalyptic number.

4142600 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 4142600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

4142600 is an abundant number, since it is smaller than the sum of its proper divisors (7910200).

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

4142600 is a wasteful number, since it uses less digits than its factorization.

4142600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4142600 is about 2035.3378097996. The cubic root of 4142600 is about 160.6044842001.

The spelling of 4142600 in words is "four million, one hundred forty-two thousand, six hundred".