4042322000 has 80 divisors (see below), whose sum is σ = 9846347472. Its totient is φ = 1605017600.

The previous prime is 4042321957. The next prime is 4042322003. The reversal of 4042322000 is 2232404.

It can be written as a sum of positive squares in 8 ways, for example, as 1163355664 + 2878966336 = 34108^2 + 53656^2 .

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 4042322000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042322003) 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, 266624 + ... + 281376.

Almost surely, 2^4042322000 is an apocalyptic number.

4042322000 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 4042322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923173736).

4042322000 is an abundant number, since it is smaller than the sum of its proper divisors (5804025472).

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

4042322000 is a wasteful number, since it uses less digits than its factorization.

4042322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14913 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4042322000 is about 63579.2576238509. The cubic root of 4042322000 is about 1592.9799211886.

Adding to 4042322000 its reverse (2232404), we get a palindrome (4044554404).

The spelling of 4042322000 in words is "four billion, forty-two million, three hundred twenty-two thousand".