414344420145 has 32 divisors (see below), whose sum is σ = 779942442240. Its totient is φ = 207984648960.

The previous prime is 414344420129. The next prime is 414344420167. The reversal of 414344420145 is 541024443414.

414344420145 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 444 + 201 + 4 + 5 = 666.

It is not a de Polignac number, because 414344420145 - 2⁴ = 414344420129 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90268821 + ... + 90273410.

It is an arithmetic number, because the mean of its divisors is an integer number (24373201320).

Almost surely, 2^414344420145 is an apocalyptic number.

414344420145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414344420145 is a deficient number, since it is larger than the sum of its proper divisors (365598022095).

414344420145 is a wasteful number, since it uses less digits than its factorization.

414344420145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180542262 (or 180542256 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 414344420145 its reverse (541024443414), we get a palindrome (955368863559).

The spelling of 414344420145 in words is "four hundred fourteen billion, three hundred forty-four million, four hundred twenty thousand, one hundred forty-five".