2442441210400 has 72 divisors (see below), whose sum is σ = 5965869659904. Its totient is φ = 976442323200.

The previous prime is 2442441210397. The next prime is 2442441210427. The reversal of 2442441210400 is 40121442442.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 631089 + ... + 2298511.

It is an arithmetic number, because the mean of its divisors is an integer number (82859300832).

Almost surely, 2^{2442441210400} is an apocalyptic number.

2442441210400 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 2442441210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982934829952).

2442441210400 is an abundant number, since it is smaller than the sum of its proper divisors (3523428449504).

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

2442441210400 is a wasteful number, since it uses less digits than its factorization.

2442441210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669274 (or 1669261 counting only the distinct ones).

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

Adding to 2442441210400 its reverse (40121442442), we get a palindrome (2482562652842).

The spelling of 2442441210400 in words is "two trillion, four hundred forty-two billion, four hundred forty-one million, two hundred ten thousand, four hundred".