4042400 has 72 divisors (see below), whose sum is σ = 10249344. Its totient is φ = 1555200.

The previous prime is 4042393. The next prime is 4042417. The reversal of 4042400 is 42404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24719 + ... + 24881.

It is an arithmetic number, because the mean of its divisors is an integer number (142352).

Almost surely, 2^4042400 is an apocalyptic number.

4042400 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 4042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124672).

4042400 is an abundant number, since it is smaller than the sum of its proper divisors (6206944).

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

4042400 is a wasteful number, since it uses less digits than its factorization.

4042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4042400 is about 2010.5720578980. The cubic root of 4042400 is about 159.2990167085.

Adding to 4042400 its reverse (42404), we get a palindrome (4084804).

The spelling of 4042400 in words is "four million, forty-two thousand, four hundred".