4012768135413 has 24 divisors (see below), whose sum is σ = 5953000101048. Its totient is φ = 2602822038912.

The previous prime is 4012768135379. The next prime is 4012768135421. The reversal of 4012768135413 is 3145318672104.

4012768135413 is a `hidden beast` number, since 4 + 0 + 1 + 27 + 6 + 81 + 3 + 541 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 279436989924 + 3733331145489 = 528618^2 + 1932183^2 .

It is not a de Polignac number, because 4012768135413 - 2⁹ = 4012768134901 is a prime.

It is a super-2 number, since 2×4012768135413² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012768135513) 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 23 ways as a sum of consecutive naturals, for example, 21141931 + ... + 21330887.

It is an arithmetic number, because the mean of its divisors is an integer number (248041670877).

Almost surely, 2^{4012768135413} is an apocalyptic number.

It is an amenable number.

4012768135413 is a deficient number, since it is larger than the sum of its proper divisors (1940231965635).

4012768135413 is a wasteful number, since it uses less digits than its factorization.

4012768135413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252773 (or 252770 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4012768135413 in words is "four trillion, twelve billion, seven hundred sixty-eight million, one hundred thirty-five thousand, four hundred thirteen".