2414223011440 has 160 divisors (see below), whose sum is σ = 6154359756480. Its totient is φ = 876662341632.

The previous prime is 2414223011413. The next prime is 2414223011441. The reversal of 2414223011440 is 441103224142.

2414223011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2414223011399 and 2414223011408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414223011441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39922507 + ... + 39982933.

It is an arithmetic number, because the mean of its divisors is an integer number (38464748478).

Almost surely, 2^{2414223011440} is an apocalyptic number.

2414223011440 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 2414223011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077179878240).

2414223011440 is an abundant number, since it is smaller than the sum of its proper divisors (3740136745040).

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

2414223011440 is a wasteful number, since it uses less digits than its factorization.

2414223011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61499 (or 61493 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2414223011440 its reverse (441103224142), we get a palindrome (2855326235582).

The spelling of 2414223011440 in words is "two trillion, four hundred fourteen billion, two hundred twenty-three million, eleven thousand, four hundred forty".