424361464163424 has 96 divisors (see below), whose sum is σ = 1291534890992640. Its totient is φ = 135303655234176.

The previous prime is 424361464163369. The next prime is 424361464163443.

424361464163424 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 614 + 6 + 4 + 16 + 3 + 4 + 2 + 4 = 666.

424361464163424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10677351912 + ... + 10677391655.

It is an arithmetic number, because the mean of its divisors is an integer number (13453488447840).

Almost surely, 2^{424361464163424} is an apocalyptic number.

It is an amenable number.

424361464163424 is an abundant number, since it is smaller than the sum of its proper divisors (867173426829216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424361464163424 is a wasteful number, since it uses less digits than its factorization.

424361464163424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354743609 (or 21354743595 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

The spelling of 424361464163424 in words is "four hundred twenty-four trillion, three hundred sixty-one billion, four hundred sixty-four million, one hundred sixty-three thousand, four hundred twenty-four".