2414124440200 has 48 divisors (see below), whose sum is σ = 6123097449360. Its totient is φ = 877863432000.

The previous prime is 2414124440141. The next prime is 2414124440201. The reversal of 2414124440200 is 20444214142.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2414124440201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548662446 + ... + 548666845.

It is an arithmetic number, because the mean of its divisors is an integer number (127564530195).

Almost surely, 2^{2414124440200} is an apocalyptic number.

2414124440200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414124440200 is an abundant number, since it is smaller than the sum of its proper divisors (3708973009160).

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

2414124440200 is a wasteful number, since it uses less digits than its factorization.

2414124440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097329318 (or 1097329309 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2414124440200 its reverse (20444214142), we get a palindrome (2434568654342).

The spelling of 2414124440200 in words is "two trillion, four hundred fourteen billion, one hundred twenty-four million, four hundred forty thousand, two hundred".