4042442000 has 80 divisors (see below), whose sum is σ = 9799883184. Its totient is φ = 1612800000.

The previous prime is 4042441987. The next prime is 4042442003. The reversal of 4042442000 is 2442404.

It can be written as a sum of positive squares in 8 ways, for example, as 2577389824 + 1465052176 = 50768^2 + 38276^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4042442003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839600 + ... + 844400.

Almost surely, 2^4042442000 is an apocalyptic number.

4042442000 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 4042442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899941592).

4042442000 is an abundant number, since it is smaller than the sum of its proper divisors (5757441184).

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

4042442000 is a wasteful number, since it uses less digits than its factorization.

4042442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4042442000 is about 63580.2013208514. The cubic root of 4042442000 is about 1592.9956840513.

Adding to 4042442000 its reverse (2442404), we get a palindrome (4044884404).

The spelling of 4042442000 in words is "four billion, forty-two million, four hundred forty-two thousand".