2440440412200 has 288 divisors, whose sum is σ = 9418400933760. Its totient is φ = 554732582400.

The previous prime is 2440440412181. The next prime is 2440440412211. The reversal of 2440440412200 is 22140440442.

2440440412200 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 4 + 40 + 412 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1745557 + ... + 2815643.

It is an arithmetic number, because the mean of its divisors is an integer number (32702781020).

Almost surely, 2^{2440440412200} is an apocalyptic number.

2440440412200 is a gapful number since it is divisible by the number (20) 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 2440440412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709200466880).

2440440412200 is an abundant number, since it is smaller than the sum of its proper divisors (6977960521560).

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

2440440412200 is a wasteful number, since it uses less digits than its factorization.

2440440412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070297 (or 1070285 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2440440412200 its reverse (22140440442), we get a palindrome (2462580852642).

The spelling of 2440440412200 in words is "two trillion, four hundred forty billion, four hundred forty million, four hundred twelve thousand, two hundred".