409051327536 has 160 divisors (see below), whose sum is σ = 1187203696640. Its totient is φ = 134835840000.

The previous prime is 409051327511. The next prime is 409051327577. The reversal of 409051327536 is 635723150904.

409051327536 is a `hidden beast` number, since 4 + 0 + 90 + 5 + 1 + 3 + 27 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 409051327491 and 409051327500.

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, 33410376 + ... + 33422616.

It is an arithmetic number, because the mean of its divisors is an integer number (7420023104).

Almost surely, 2^409051327536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409051327536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593601848320).

409051327536 is an abundant number, since it is smaller than the sum of its proper divisors (778152369104).

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

409051327536 is a wasteful number, since it uses less digits than its factorization.

409051327536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 409051327536 in words is "four hundred nine billion, fifty-one million, three hundred twenty-seven thousand, five hundred thirty-six".