409071820344 has 128 divisors (see below), whose sum is σ = 1139805388800. Its totient is φ = 121279213440.

The previous prime is 409071820303. The next prime is 409071820379. The reversal of 409071820344 is 443028170904.

It is a junction number, because it is equal to n+sod(n) for n = 409071820296 and 409071820305.

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, 51600909 + ... + 51608835.

It is an arithmetic number, because the mean of its divisors is an integer number (8904729600).

Almost surely, 2^409071820344 is an apocalyptic number.

409071820344 is a gapful number since it is divisible by the number (44) 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 409071820344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569902694400).

409071820344 is an abundant number, since it is smaller than the sum of its proper divisors (730733568456).

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

409071820344 is a wasteful number, since it uses less digits than its factorization.

409071820344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12153 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 409071820344 in words is "four hundred nine billion, seventy-one million, eight hundred twenty thousand, three hundred forty-four".