1215433144440 has 768 divisors, whose sum is σ = 4423675576320. Its totient is φ = 288074465280.

The previous prime is 1215433144439. The next prime is 1215433144451. The reversal of 1215433144440 is 444413345121.

It is a happy number.

1215433144440 is a `hidden beast` number, since 1 + 2 + 1 + 543 + 31 + 4 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1215433144395 and 1215433144404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1370273677 + ... + 1370274563.

It is an arithmetic number, because the mean of its divisors is an integer number (5759994240).

Almost surely, 2^{1215433144440} is an apocalyptic number.

1215433144440 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 1215433144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211837788160).

1215433144440 is an abundant number, since it is smaller than the sum of its proper divisors (3208242431880).

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

1215433144440 is a wasteful number, since it uses less digits than its factorization.

1215433144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1215433144440 its reverse (444413345121), we get a palindrome (1659846489561).

The spelling of 1215433144440 in words is "one trillion, two hundred fifteen billion, four hundred thirty-three million, one hundred forty-four thousand, four hundred forty".