2214400243440 has 640 divisors, whose sum is σ = 8775024648192. Its totient is φ = 448537743360.

The previous prime is 2214400243439. The next prime is 2214400243487. The reversal of 2214400243440 is 443420044122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2214400243398 and 2214400243407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 442611979 + ... + 442616981.

Almost surely, 2^{2214400243440} is an apocalyptic number.

2214400243440 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 2214400243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387512324096).

2214400243440 is an abundant number, since it is smaller than the sum of its proper divisors (6560624404752).

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

2214400243440 is a wasteful number, since it uses less digits than its factorization.

2214400243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5631 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2214400243440 its reverse (443420044122), we get a palindrome (2657820287562).

The spelling of 2214400243440 in words is "two trillion, two hundred fourteen billion, four hundred million, two hundred forty-three thousand, four hundred forty".