414401405513 has 16 divisors (see below), whose sum is σ = 422528370000. Its totient is φ = 406356652800.

The previous prime is 414401405503. The next prime is 414401405533. The reversal of 414401405513 is 315504104414.

It can be written as a sum of positive squares in 8 ways, for example, as 114478692409 + 299922713104 = 338347^2 + 547652^2 .

It is a cyclic number.

It is not a de Polignac number, because 414401405513 - 2⁴ = 414401405497 is a prime.

It is a super-2 number, since 2×414401405513² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414401405513.

It is not an unprimeable number, because it can be changed into a prime (414401405503) 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, 30256895 + ... + 30270587.

It is an arithmetic number, because the mean of its divisors is an integer number (26408023125).

Almost surely, 2^414401405513 is an apocalyptic number.

It is an amenable number.

414401405513 is a deficient number, since it is larger than the sum of its proper divisors (8126964487).

414401405513 is a wasteful number, since it uses less digits than its factorization.

414401405513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16652.

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 414401405513 its reverse (315504104414), we get a palindrome (729905509927).

The spelling of 414401405513 in words is "four hundred fourteen billion, four hundred one million, four hundred five thousand, five hundred thirteen".