264434401100 has 72 divisors (see below), whose sum is σ = 581562777600. Its totient is φ = 104349211200.

The previous prime is 264434401093. The next prime is 264434401117. The reversal of 264434401100 is 1104434462.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10091015 + ... + 10117185.

It is an arithmetic number, because the mean of its divisors is an integer number (8077260800).

Almost surely, 2^264434401100 is an apocalyptic number.

264434401100 is a gapful number since it is divisible by the number (20) 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 264434401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290781388800).

264434401100 is an abundant number, since it is smaller than the sum of its proper divisors (317128376500).

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

264434401100 is a wasteful number, since it uses less digits than its factorization.

264434401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27543 (or 27536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 264434401100 its reverse (1104434462), we get a palindrome (265538835562).

The spelling of 264434401100 in words is "two hundred sixty-four billion, four hundred thirty-four million, four hundred one thousand, one hundred".