2124440404400 has 240 divisors, whose sum is σ = 5277043200000. Its totient is φ = 821406458880.

The previous prime is 2124440404391. The next prime is 2124440404439. The reversal of 2124440404400 is 44040444212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090014626 + ... + 1090016574.

It is an arithmetic number, because the mean of its divisors is an integer number (21987680000).

Almost surely, 2^{2124440404400} is an apocalyptic number.

2124440404400 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 2124440404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638521600000).

2124440404400 is an abundant number, since it is smaller than the sum of its proper divisors (3152602795600).

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

2124440404400 is a wasteful number, since it uses less digits than its factorization.

2124440404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 2124440404400 its reverse (44040444212), we get a palindrome (2168480848612).

The spelling of 2124440404400 in words is "two trillion, one hundred twenty-four billion, four hundred forty million, four hundred four thousand, four hundred".