405049088808 has 512 divisors, whose sum is σ = 1404125184000. Its totient is φ = 105345515520.

The previous prime is 405049088803. The next prime is 405049088831. The reversal of 405049088808 is 808880940504.

405049088808 is a `hidden beast` number, since 40 + 504 + 90 + 8 + 8 + 8 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (405049088803) 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, 526721448 + ... + 526722216.

It is an arithmetic number, because the mean of its divisors is an integer number (2742432000).

Almost surely, 2^405049088808 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 405049088808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702062592000).

405049088808 is an abundant number, since it is smaller than the sum of its proper divisors (999076095192).

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

405049088808 is a wasteful number, since it uses less digits than its factorization.

405049088808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 405049088808 in words is "four hundred five billion, forty-nine million, eighty-eight thousand, eight hundred eight".