409261012160 has 448 divisors, whose sum is σ = 1311047700480. Its totient is φ = 117519482880.

The previous prime is 409261012159. The next prime is 409261012201. The reversal of 409261012160 is 61210162904.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230309192 + ... + 230310968.

It is an arithmetic number, because the mean of its divisors is an integer number (2926445760).

Almost surely, 2^409261012160 is an apocalyptic number.

409261012160 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 409261012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655523850240).

409261012160 is an abundant number, since it is smaller than the sum of its proper divisors (901786688320).

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

409261012160 is a wasteful number, since it uses less digits than its factorization.

409261012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 409261012160 in words is "four hundred nine billion, two hundred sixty-one million, twelve thousand, one hundred sixty".