314224400413 has 16 divisors (see below), whose sum is σ = 391772605824. Its totient is φ = 244842485760.

The previous prime is 314224400407. The next prime is 314224400423. The reversal of 314224400413 is 314004422413.

It is a cyclic number.

It is not a de Polignac number, because 314224400413 - 2⁵ = 314224400381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314224400423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4463181 + ... + 4533037.

It is an arithmetic number, because the mean of its divisors is an integer number (24485787864).

Almost surely, 2^314224400413 is an apocalyptic number.

It is an amenable number.

314224400413 is a deficient number, since it is larger than the sum of its proper divisors (77548205411).

314224400413 is a wasteful number, since it uses less digits than its factorization.

314224400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128292.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 314224400413 its reverse (314004422413), we get a palindrome (628228822826).

The spelling of 314224400413 in words is "three hundred fourteen billion, two hundred twenty-four million, four hundred thousand, four hundred thirteen".