4024243104200 has 384 divisors, whose sum is σ = 10966209546240. Its totient is φ = 1357171200000.

The previous prime is 4024243104131. The next prime is 4024243104227. The reversal of 4024243104200 is 24013424204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4024243104200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 812811725 + ... + 812816675.

It is an arithmetic number, because the mean of its divisors is an integer number (28557837360).

Almost surely, 2^{4024243104200} is an apocalyptic number.

4024243104200 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 4024243104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483104773120).

4024243104200 is an abundant number, since it is smaller than the sum of its proper divisors (6941966442040).

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

4024243104200 is a wasteful number, since it uses less digits than its factorization.

4024243104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4024243104200 its reverse (24013424204), we get a palindrome (4048256528404).

The spelling of 4024243104200 in words is "four trillion, twenty-four billion, two hundred forty-three million, one hundred four thousand, two hundred".