1265010541344 has 192 divisors, whose sum is σ = 4236878016000. Its totient is φ = 363160869120.

The previous prime is 1265010541247. The next prime is 1265010541351. The reversal of 1265010541344 is 4431450105621.

1265010541344 is a `hidden beast` number, since 1 + 2 + 65 + 0 + 10 + 541 + 3 + 44 = 666.

It is a super-2 number, since 2×1265010541344² (a number of 25 digits) contains 22 as substring.

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 = 1265010541299 and 1265010541308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3322134 + ... + 3683285.

It is an arithmetic number, because the mean of its divisors is an integer number (22067073000).

Almost surely, 2^{1265010541344} is an apocalyptic number.

It is an amenable number.

1265010541344 is an abundant number, since it is smaller than the sum of its proper divisors (2971867474656).

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

1265010541344 is a wasteful number, since it uses less digits than its factorization.

1265010541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005468 (or 7005454 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 1265010541344 its reverse (4431450105621), we get a palindrome (5696460646965).

The spelling of 1265010541344 in words is "one trillion, two hundred sixty-five billion, ten million, five hundred forty-one thousand, three hundred forty-four".