409280320132320 has 1536 divisors, whose sum is σ = 1705903095214080. Its totient is φ = 80028830269440.

The previous prime is 409280320132153. The next prime is 409280320132361. The reversal of 409280320132320 is 23231023082904.

It is a super-2 number, since 2×409280320132320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34746604191 + ... + 34746615969.

It is an arithmetic number, because the mean of its divisors is an integer number (1110613994280).

Almost surely, 2^{409280320132320} is an apocalyptic number.

409280320132320 is a gapful number since it is divisible by the number (40) 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 409280320132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852951547607040).

409280320132320 is an abundant number, since it is smaller than the sum of its proper divisors (1296622775081760).

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

409280320132320 is a wasteful number, since it uses less digits than its factorization.

409280320132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12548 (or 12540 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 409280320132320 in words is "four hundred nine trillion, two hundred eighty billion, three hundred twenty million, one hundred thirty-two thousand, three hundred twenty".