2243141340440 has 256 divisors, whose sum is σ = 6779448023040. Its totient is φ = 645096960000.

The previous prime is 2243141340439. The next prime is 2243141340467. The reversal of 2243141340440 is 440431413422.

It is a junction number, because it is equal to n+sod(n) for n = 2243141340397 and 2243141340406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102131060 + ... + 102153020.

It is an arithmetic number, because the mean of its divisors is an integer number (26482218840).

Almost surely, 2^{2243141340440} is an apocalyptic number.

2243141340440 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 2243141340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389724011520).

2243141340440 is an abundant number, since it is smaller than the sum of its proper divisors (4536306682600).

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

2243141340440 is a wasteful number, since it uses less digits than its factorization.

2243141340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24554 (or 24550 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2243141340440 its reverse (440431413422), we get a palindrome (2683572753862).

The spelling of 2243141340440 in words is "two trillion, two hundred forty-three billion, one hundred forty-one million, three hundred forty thousand, four hundred forty".