2440242240400 has 120 divisors (see below), whose sum is σ = 6209315335080. Its totient is φ = 918417530880.

The previous prime is 2440242240391. The next prime is 2440242240427. The reversal of 2440242240400 is 40422420442.

It can be written as a sum of positive squares in 12 ways, for example, as 1762564243456 + 677677996944 = 1327616^2 + 823212^2 .

It is a super-3 number, since 3×2440242240400³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24682266 + ... + 24780934.

It is an arithmetic number, because the mean of its divisors is an integer number (51744294459).

Almost surely, 2^{2440242240400} is an apocalyptic number.

2440242240400 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 2440242240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104657667540).

2440242240400 is an abundant number, since it is smaller than the sum of its proper divisors (3769073094680).

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

2440242240400 is a wasteful number, since it uses less digits than its factorization.

2440242240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102341 (or 102330 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2440242240400 its reverse (40422420442), we get a palindrome (2480664660842).

The spelling of 2440242240400 in words is "two trillion, four hundred forty billion, two hundred forty-two million, two hundred forty thousand, four hundred".