434407028385465 has 12 divisors (see below), whose sum is σ = 752972182534884. Its totient is φ = 231683748472224.

The previous prime is 434407028385431. The next prime is 434407028385481. The reversal of 434407028385465 is 564583820704434.

434407028385465 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 0 + 7 + 0 + 2 + 83 + 8 + 546 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250597859860089 + 183809168525376 = 15830283^2 + 13557624^2 .

It is not a de Polignac number, because 434407028385465 - 2¹¹ = 434407028383417 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4826744759794 + ... + 4826744759883.

It is an arithmetic number, because the mean of its divisors is an integer number (62747681877907).

Almost surely, 2^{434407028385465} is an apocalyptic number.

434407028385465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434407028385465 is a deficient number, since it is larger than the sum of its proper divisors (318565154149419).

434407028385465 is a wasteful number, since it uses less digits than its factorization.

434407028385465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653489519688 (or 9653489519685 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 63.

The spelling of 434407028385465 in words is "four hundred thirty-four trillion, four hundred seven billion, twenty-eight million, three hundred eighty-five thousand, four hundred sixty-five".