1224434101440 has 448 divisors, whose sum is σ = 4568168005632. Its totient is φ = 274766131200.

The previous prime is 1224434101433. The next prime is 1224434101489. The reversal of 1224434101440 is 441014344221.

It is a happy number.

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 = 1224434101398 and 1224434101407.

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, 7447969 + ... + 7610591.

It is an arithmetic number, because the mean of its divisors is an integer number (10196803584).

Almost surely, 2^{1224434101440} is an apocalyptic number.

1224434101440 is a gapful number since it is divisible by the number (10) 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 1224434101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284084002816).

1224434101440 is an abundant number, since it is smaller than the sum of its proper divisors (3343733904192).

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

1224434101440 is a wasteful number, since it uses less digits than its factorization.

1224434101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162708 (or 162698 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1224434101440 its reverse (441014344221), we get a palindrome (1665448445661).

The spelling of 1224434101440 in words is "one trillion, two hundred twenty-four billion, four hundred thirty-four million, one hundred one thousand, four hundred forty".