4242404400 has 360 divisors, whose sum is σ = 15563264304. Its totient is φ = 981811200.

The previous prime is 4242404399. The next prime is 4242404407. The reversal of 4242404400 is 44042424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4242404407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4507930 + ... + 4508870.

Almost surely, 2^4242404400 is an apocalyptic number.

4242404400 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 4242404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781632152).

4242404400 is an abundant number, since it is smaller than the sum of its proper divisors (11320859904).

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

4242404400 is a wasteful number, since it uses less digits than its factorization.

4242404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4242404400 is about 65133.7424074496. The cubic root of 4242404400 is about 1618.8403528325.

Adding to 4242404400 its reverse (44042424), we get a palindrome (4286446824).

The spelling of 4242404400 in words is "four billion, two hundred forty-two million, four hundred four thousand, four hundred".