20414313344 has 64 divisors (see below), whose sum is σ = 41345528640. Its totient is φ = 10038214656.

The previous prime is 20414313341. The next prime is 20414313373. The reversal of 20414313344 is 44331341402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414313341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3426272 + ... + 3432224.

It is an arithmetic number, because the mean of its divisors is an integer number (646023885).

Almost surely, 2^20414313344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20672764320).

20414313344 is an abundant number, since it is smaller than the sum of its proper divisors (20931215296).

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

20414313344 is an equidigital number, since it uses as much as digits as its factorization.

20414313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 20414313344 its reverse (44331341402), we get a palindrome (64745654746).

The spelling of 20414313344 in words is "twenty billion, four hundred fourteen million, three hundred thirteen thousand, three hundred forty-four".