1205344341440 has 112 divisors (see below), whose sum is σ = 3052109447712. Its totient is φ = 451828678656.

The previous prime is 1205344341413. The next prime is 1205344341451. The reversal of 1205344341440 is 441434435021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1205344341440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792047 + ... + 1742993.

Almost surely, 2^{1205344341440} is an apocalyptic number.

1205344341440 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 1205344341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526054723856).

1205344341440 is an abundant number, since it is smaller than the sum of its proper divisors (1846765106272).

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

1205344341440 is a wasteful number, since it uses less digits than its factorization.

1205344341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951214 (or 951204 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 1205344341440 its reverse (441434435021), we get a palindrome (1646778776461).

The spelling of 1205344341440 in words is "one trillion, two hundred five billion, three hundred forty-four million, three hundred forty-one thousand, four hundred forty".