314412040214413 has 16 divisors (see below), whose sum is σ = 324619337097216. Its totient is φ = 304325673644160.

The previous prime is 314412040214407. The next prime is 314412040214423.

314412040214413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314412040214413 - 2¹³ = 314412040206221 is a prime.

It is a super-2 number, since 2×314412040214413² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314412040214423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253996220 + ... + 1254246922.

It is an arithmetic number, because the mean of its divisors is an integer number (20288708568576).

Almost surely, 2^{314412040214413} is an apocalyptic number.

It is an amenable number.

314412040214413 is a deficient number, since it is larger than the sum of its proper divisors (10207296882803).

314412040214413 is a wasteful number, since it uses less digits than its factorization.

314412040214413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491724.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 314412040214413 in words is "three hundred fourteen trillion, four hundred twelve billion, forty million, two hundred fourteen thousand, four hundred thirteen".