4414505240240 has 80 divisors (see below), whose sum is σ = 10361974639392. Its totient is φ = 1748906299392.

The previous prime is 4414505240207. The next prime is 4414505240267. The reversal of 4414505240240 is 420425054144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4414505240240² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4414505240240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39637112 + ... + 39748328.

Almost surely, 2^{4414505240240} is an apocalyptic number.

4414505240240 is a gapful number since it is divisible by the number (40) 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 4414505240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180987319696).

4414505240240 is an abundant number, since it is smaller than the sum of its proper divisors (5947469399152).

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

4414505240240 is a wasteful number, since it uses less digits than its factorization.

4414505240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115974 (or 115968 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The spelling of 4414505240240 in words is "four trillion, four hundred fourteen billion, five hundred five million, two hundred forty thousand, two hundred forty".