409581958320 has 160 divisors (see below), whose sum is σ = 1413970214400. Its totient is φ = 108975050496.

The previous prime is 409581958271. The next prime is 409581958339. The reversal of 409581958320 is 23859185904.

409581958320 is a `hidden beast` number, since 4 + 0 + 9 + 58 + 1 + 9 + 583 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742861 + ... + 1170899.

It is an arithmetic number, because the mean of its divisors is an integer number (8837313840).

Almost surely, 2^409581958320 is an apocalyptic number.

409581958320 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 409581958320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706985107200).

409581958320 is an abundant number, since it is smaller than the sum of its proper divisors (1004388256080).

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

409581958320 is a wasteful number, since it uses less digits than its factorization.

409581958320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428504 (or 428492 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 409581958320 in words is "four hundred nine billion, five hundred eighty-one million, nine hundred fifty-eight thousand, three hundred twenty".