1224441144340 has 24 divisors (see below), whose sum is σ = 2574994515912. Its totient is φ = 489077769600.

The previous prime is 1224441144301. The next prime is 1224441144359. The reversal of 1224441144340 is 434411444221.

It can be written as a sum of positive squares in 4 ways, for example, as 684997901316 + 539443243024 = 827646^2 + 734468^2 .

It is a super-3 number, since 3×1224441144340³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1224441144296 and 1224441144305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43653639 + ... + 43681678.

It is an arithmetic number, because the mean of its divisors is an integer number (107291438163).

Almost surely, 2^{1224441144340} is an apocalyptic number.

1224441144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224441144340 is an abundant number, since it is smaller than the sum of its proper divisors (1350553371572).

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

1224441144340 is a wasteful number, since it uses less digits than its factorization.

1224441144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87336027 (or 87336025 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 1224441144340 its reverse (434411444221), we get a palindrome (1658852588561).

The spelling of 1224441144340 in words is "one trillion, two hundred twenty-four billion, four hundred forty-one million, one hundred forty-four thousand, three hundred forty".