1540514342241 has 36 divisors (see below), whose sum is σ = 2590639446564. Its totient is φ = 879560640000.

The previous prime is 1540514342233. The next prime is 1540514342243. The reversal of 1540514342241 is 1422434150451.

1540514342241 is a `hidden beast` number, since 1 + 5 + 405 + 1 + 4 + 3 + 4 + 2 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23500890000 + 1517013452241 = 153300^2 + 1231671^2 .

It is not a de Polignac number, because 1540514342241 - 2³ = 1540514342233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1540514342196 and 1540514342205.

It is not an unprimeable number, because it can be changed into a prime (1540514342243) 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 35 ways as a sum of consecutive naturals, for example, 924660 + ... + 1983941.

It is an arithmetic number, because the mean of its divisors is an integer number (71962206849).

Almost surely, 2^{1540514342241} is an apocalyptic number.

It is an amenable number.

1540514342241 is a deficient number, since it is larger than the sum of its proper divisors (1050125104323).

1540514342241 is a wasteful number, since it uses less digits than its factorization.

1540514342241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909822 (or 2909812 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 1540514342241 its reverse (1422434150451), we get a palindrome (2962948492692).

The spelling of 1540514342241 in words is "one trillion, five hundred forty billion, five hundred fourteen million, three hundred forty-two thousand, two hundred forty-one".