409213263528 has 96 divisors (see below), whose sum is σ = 1110453926400. Its totient is φ = 136137901824.

The previous prime is 409213263527. The next prime is 409213263611. The reversal of 409213263528 is 825362312904.

409213263528 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 1 + 3 + 2 + 635 + 2 + 8 = 666.

409213263528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (409213263527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98532300 + ... + 98536452.

It is an arithmetic number, because the mean of its divisors is an integer number (11567228400).

Almost surely, 2^409213263528 is an apocalyptic number.

It is an amenable number.

409213263528 is an abundant number, since it is smaller than the sum of its proper divisors (701240662872).

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

409213263528 is a wasteful number, since it uses less digits than its factorization.

409213263528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 409213263528 in words is "four hundred nine billion, two hundred thirteen million, two hundred sixty-three thousand, five hundred twenty-eight".