414231405407 has 16 divisors (see below), whose sum is σ = 422500172160. Its totient is φ = 406062914400.

The previous prime is 414231405353. The next prime is 414231405409. The reversal of 414231405407 is 704504132414.

It is a cyclic number.

It is not a de Polignac number, because 414231405407 - 2¹⁶ = 414231339871 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 (414231405409) 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, 4682528 + ... + 4770170.

It is an arithmetic number, because the mean of its divisors is an integer number (26406260760).

Almost surely, 2^414231405407 is an apocalyptic number.

414231405407 is a deficient number, since it is larger than the sum of its proper divisors (8268766753).

414231405407 is a wasteful number, since it uses less digits than its factorization.

414231405407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88214.

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 414231405407 in words is "four hundred fourteen billion, two hundred thirty-one million, four hundred five thousand, four hundred seven".