409796513280 has 1280 divisors, whose sum is σ = 1864757790720. Its totient is φ = 82811289600.

The previous prime is 409796513263. The next prime is 409796513281. The reversal of 409796513280 is 82315697904.

409796513280 is a `hidden beast` number, since 40 + 9 + 7 + 9 + 6 + 513 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409796513281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196921840 + ... + 196923920.

It is an arithmetic number, because the mean of its divisors is an integer number (1456842024).

It is a 1-persistent number, because it is pandigital, but 2⋅409796513280 = 819593026560 is not.

Almost surely, 2^409796513280 is an apocalyptic number.

409796513280 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 409796513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932378895360).

409796513280 is an abundant number, since it is smaller than the sum of its proper divisors (1454961277440).

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

409796513280 is a wasteful number, since it uses less digits than its factorization.

409796513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 40979651 and 3280, that added together give a triangular number (40982931 = T₉₀₅₃).

The spelling of 409796513280 in words is "four hundred nine billion, seven hundred ninety-six million, five hundred thirteen thousand, two hundred eighty".