409265826288 has 160 divisors (see below), whose sum is σ = 1167064588800. Its totient is φ = 122557639680.

The previous prime is 409265826197. The next prime is 409265826311. The reversal of 409265826288 is 882628562904.

409265826288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15485181 + ... + 15511587.

It is an arithmetic number, because the mean of its divisors is an integer number (7294153680).

Almost surely, 2^409265826288 is an apocalyptic number.

409265826288 is a gapful number since it is divisible by the number (48) 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 409265826288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583532294400).

409265826288 is an abundant number, since it is smaller than the sum of its proper divisors (757798762512).

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

409265826288 is a wasteful number, since it uses less digits than its factorization.

409265826288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26775 (or 26769 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 409265826288 in words is "four hundred nine billion, two hundred sixty-five million, eight hundred twenty-six thousand, two hundred eighty-eight".