413132211414401 has 4 divisors (see below), whose sum is σ = 413132447001600. Its totient is φ = 413131975827204.

The previous prime is 413132211414371. The next prime is 413132211414409. The reversal of 413132211414401 is 104414112231314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 413132211414401 - 2¹⁸ = 413132211152257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413132211414409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115143281 + ... + 118677038.

It is an arithmetic number, because the mean of its divisors is an integer number (103283111750400).

Almost surely, 2^{413132211414401} is an apocalyptic number.

It is an amenable number.

413132211414401 is a deficient number, since it is larger than the sum of its proper divisors (235587199).

413132211414401 is a wasteful number, since it uses less digits than its factorization.

413132211414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235587198.

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 413132211414401 its reverse (104414112231314), we get a palindrome (517546323645715).

The spelling of 413132211414401 in words is "four hundred thirteen trillion, one hundred thirty-two billion, two hundred eleven million, four hundred fourteen thousand, four hundred one".