4042600 has 96 divisors (see below), whose sum is σ = 10546200. Its totient is φ = 1433600.

The previous prime is 4042561. The next prime is 4042601. The reversal of 4042600 is 62404.

4042600 = T₂₂₉ + T₂₃₀ + ... + T₃₃₀.

It can be written as a sum of positive squares in 12 ways, for example, as 66564 + 3976036 = 258^2 + 1994^2 .

It is a super-2 number, since 2×4042600² = 32685229520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98580 + ... + 98620.

Almost surely, 2^4042600 is an apocalyptic number.

4042600 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 4042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273100).

4042600 is an abundant number, since it is smaller than the sum of its proper divisors (6503600).

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

4042600 is a wasteful number, since it uses less digits than its factorization.

4042600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4042600 is about 2010.6217943711. The cubic root of 4042600 is about 159.3016438011.

The spelling of 4042600 in words is "four million, forty-two thousand, six hundred".