20405335344 has 80 divisors (see below), whose sum is σ = 54626979840. Its totient is φ = 6556631040.

The previous prime is 20405335303. The next prime is 20405335351. The reversal of 20405335344 is 44353350402.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355737 + ... + 409095.

It is an arithmetic number, because the mean of its divisors is an integer number (682837248).

Almost surely, 2^20405335344 is an apocalyptic number.

20405335344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20405335344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27313489920).

20405335344 is an abundant number, since it is smaller than the sum of its proper divisors (34221644496).

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

20405335344 is a wasteful number, since it uses less digits than its factorization.

20405335344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53658 (or 53652 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 20405335344 its reverse (44353350402), we get a palindrome (64758685746).

The spelling of 20405335344 in words is "twenty billion, four hundred five million, three hundred thirty-five thousand, three hundred forty-four".