1365727411456 has 144 divisors (see below), whose sum is σ = 2913557302656. Its totient is φ = 637380108288.

The previous prime is 1365727411453. The next prime is 1365727411471. The reversal of 1365727411456 is 6541147275631.

It is a super-2 number, since 2×1365727411456² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365727411453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378001906 + ... + 378005518.

It is an arithmetic number, because the mean of its divisors is an integer number (20233036824).

Almost surely, 2^{1365727411456} is an apocalyptic number.

1365727411456 is a gapful number since it is divisible by the number (16) 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 1365727411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456778651328).

1365727411456 is an abundant number, since it is smaller than the sum of its proper divisors (1547829891200).

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

1365727411456 is a wasteful number, since it uses less digits than its factorization.

1365727411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5174 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 52.

The spelling of 1365727411456 in words is "one trillion, three hundred sixty-five billion, seven hundred twenty-seven million, four hundred eleven thousand, four hundred fifty-six".