1350441065344 has 256 divisors, whose sum is σ = 3291933312000. Its totient is φ = 539343028224.

The previous prime is 1350441065287. The next prime is 1350441065357. The reversal of 1350441065344 is 4435601440531.

It is a junction number, because it is equal to n+sod(n) for n = 1350441065297 and 1350441065306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137388622 + ... + 137398450.

It is an arithmetic number, because the mean of its divisors is an integer number (12859114500).

Almost surely, 2^{1350441065344} is an apocalyptic number.

1350441065344 is a gapful number since it is divisible by the number (14) 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 1350441065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645966656000).

1350441065344 is an abundant number, since it is smaller than the sum of its proper divisors (1941492246656).

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

1350441065344 is a wasteful number, since it uses less digits than its factorization.

1350441065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 1350441065344 in words is "one trillion, three hundred fifty billion, four hundred forty-one million, sixty-five thousand, three hundred forty-four".