4240124203200 has 672 divisors, whose sum is σ = 14339196518400. Its totient is φ = 1096594329600.

The previous prime is 4240124203171. The next prime is 4240124203207. The reversal of 4240124203200 is 23024210424.

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 (4240124203207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6985377297 + ... + 6985377903.

Almost surely, 2^{4240124203200} is an apocalyptic number.

4240124203200 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 4240124203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169598259200).

4240124203200 is an abundant number, since it is smaller than the sum of its proper divisors (10099072315200).

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

4240124203200 is a wasteful number, since it uses less digits than its factorization.

4240124203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4240124203200 its reverse (23024210424), we get a palindrome (4263148413624).

The spelling of 4240124203200 in words is "four trillion, two hundred forty billion, one hundred twenty-four million, two hundred three thousand, two hundred".