4314261322464 has 96 divisors (see below), whose sum is σ = 12142895224320. Its totient is φ = 1336360876032.

The previous prime is 4314261322457. The next prime is 4314261322513. The reversal of 4314261322464 is 4642231624134.

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

It is a super-2 number, since 2×4314261322464² (a number of 26 digits) contains 22 as substring.

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, 16602354 + ... + 16860209.

It is an arithmetic number, because the mean of its divisors is an integer number (126488491920).

Almost surely, 2^{4314261322464} is an apocalyptic number.

It is an amenable number.

4314261322464 is an abundant number, since it is smaller than the sum of its proper divisors (7828633901856).

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

4314261322464 is a wasteful number, since it uses less digits than its factorization.

4314261322464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33462672 (or 33462664 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

Adding to 4314261322464 its reverse (4642231624134), we get a palindrome (8956492946598).

The spelling of 4314261322464 in words is "four trillion, three hundred fourteen billion, two hundred sixty-one million, three hundred twenty-two thousand, four hundred sixty-four".