1406242145313 has 32 divisors (see below), whose sum is σ = 2086245233280. Its totient is φ = 936179778240.

The previous prime is 1406242145227. The next prime is 1406242145419. The reversal of 1406242145313 is 3135412426041.

1406242145313 is a `hidden beast` number, since 1 + 4 + 0 + 624 + 2 + 14 + 5 + 3 + 13 = 666.

It is not a de Polignac number, because 1406242145313 - 2²⁰ = 1406241096737 is a prime.

It is a super-3 number, since 3×1406242145313³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1406242146313) 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, 138773395 + ... + 138783527.

It is an arithmetic number, because the mean of its divisors is an integer number (65195163540).

Almost surely, 2^{1406242145313} is an apocalyptic number.

It is an amenable number.

1406242145313 is a deficient number, since it is larger than the sum of its proper divisors (680003087967).

1406242145313 is a wasteful number, since it uses less digits than its factorization.

1406242145313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16846 (or 16840 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1406242145313 in words is "one trillion, four hundred six billion, two hundred forty-two million, one hundred forty-five thousand, three hundred thirteen".