424242222400 has 84 divisors (see below), whose sum is σ = 1044048793788. Its totient is φ = 169672867840.

The previous prime is 424242222241. The next prime is 424242222403. The reversal of 424242222400 is 4222242424.

It can be written as a sum of positive squares in 6 ways, for example, as 89899228224 + 334342994176 = 299832^2 + 578224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424242222403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15085152 + ... + 15113248.

It is an arithmetic number, because the mean of its divisors is an integer number (12429152307).

Almost surely, 2^424242222400 is an apocalyptic number.

424242222400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424242222400 is an abundant number, since it is smaller than the sum of its proper divisors (619806571388).

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

424242222400 is a wasteful number, since it uses less digits than its factorization.

424242222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37556 (or 37541 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 424242222400 its reverse (4222242424), we get a palindrome (428464464824).

The spelling of 424242222400 in words is "four hundred twenty-four billion, two hundred forty-two million, two hundred twenty-two thousand, four hundred".