1365260121344 has 288 divisors, whose sum is σ = 3227394240000. Its totient is φ = 576100761600.

The previous prime is 1365260121319. The next prime is 1365260121347. The reversal of 1365260121344 is 4431210625631.

It is a junction number, because it is equal to n+sod(n) for n = 1365260121298 and 1365260121307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365260121347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2279231957 + ... + 2279232555.

It is an arithmetic number, because the mean of its divisors is an integer number (11206230000).

Almost surely, 2^{1365260121344} is an apocalyptic number.

1365260121344 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 1365260121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613697120000).

1365260121344 is an abundant number, since it is smaller than the sum of its proper divisors (1862134118656).

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

1365260121344 is an equidigital number, since it uses as much as digits as its factorization.

1365260121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 1365260121344 its reverse (4431210625631), we get a palindrome (5796470746975).

The spelling of 1365260121344 in words is "one trillion, three hundred sixty-five billion, two hundred sixty million, one hundred twenty-one thousand, three hundred forty-four".