4042230400 has 96 divisors (see below), whose sum is σ = 10753803900. Its totient is φ = 1492500480.

The previous prime is 4042230397. The next prime is 4042230421. The reversal of 4042230400 is 40322404.

It can be written as a sum of positive squares in 6 ways, for example, as 572549184 + 3469681216 = 23928^2 + 58904^2 .

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, 6985 + ... + 90184.

Almost surely, 2^4042230400 is an apocalyptic number.

4042230400 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 4042230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376901950).

4042230400 is an abundant number, since it is smaller than the sum of its proper divisors (6711573500).

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

4042230400 is a wasteful number, since it uses less digits than its factorization.

4042230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97206 (or 97189 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4042230400 is about 63578.5372590468. The cubic root of 4042230400 is about 1592.9678886602.

Adding to 4042230400 its reverse (40322404), we get a palindrome (4082552804).

The spelling of 4042230400 in words is "four billion, forty-two million, two hundred thirty thousand, four hundred".