4042800 has 90 divisors (see below), whose sum is σ = 14042132. Its totient is φ = 1077120.

The previous prime is 4042789. The next prime is 4042807. The reversal of 4042800 is 82404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4042807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3039 + ... + 4161.

Almost surely, 2^4042800 is an apocalyptic number.

4042800 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 4042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021066).

4042800 is an abundant number, since it is smaller than the sum of its proper divisors (9999332).

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

4042800 is a wasteful number, since it uses less digits than its factorization.

4042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4042800 is about 2010.6715296139. The cubic root of 4042800 is about 159.3042708071.

The spelling of 4042800 in words is "four million, forty-two thousand, eight hundred".