1540120756041 has 32 divisors (see below), whose sum is σ = 2691728384000. Its totient is φ = 851679677520.

The previous prime is 1540120756007. The next prime is 1540120756043. The reversal of 1540120756041 is 1406570210451.

1540120756041 is a `hidden beast` number, since 1 + 5 + 40 + 1 + 2 + 0 + 7 + 5 + 604 + 1 = 666.

It is not a de Polignac number, because 1540120756041 - 2²³ = 1540112367433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1540120755987 and 1540120756005.

It is not an unprimeable number, because it can be changed into a prime (1540120756043) 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 31 ways as a sum of consecutive naturals, for example, 131426191 + ... + 131437908.

It is an arithmetic number, because the mean of its divisors is an integer number (84116512000).

Almost surely, 2^{1540120756041} is an apocalyptic number.

It is an amenable number.

1540120756041 is a deficient number, since it is larger than the sum of its proper divisors (1151607627959).

1540120756041 is a wasteful number, since it uses less digits than its factorization.

1540120756041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262864146 (or 262864140 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 1540120756041 its reverse (1406570210451), we get a palindrome (2946690966492).

The spelling of 1540120756041 in words is "one trillion, five hundred forty billion, one hundred twenty million, seven hundred fifty-six thousand, forty-one".