406610849836224 has 336 divisors, whose sum is σ = 1334902337982720. Its totient is φ = 117190977361920.

The previous prime is 406610849836193. The next prime is 406610849836241. The reversal of 406610849836224 is 422638948016604.

It is a happy number.

406610849836224 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 108 + 498 + 36 + 2 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4203484 + ... + 28825179.

Almost surely, 2^{406610849836224} is an apocalyptic number.

406610849836224 is a gapful number since it is divisible by the number (44) 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 406610849836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667451168991360).

406610849836224 is an abundant number, since it is smaller than the sum of its proper divisors (928291488146496).

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

406610849836224 is a wasteful number, since it uses less digits than its factorization.

406610849836224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33028788 (or 33028775 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 406610849836224 in words is "four hundred six trillion, six hundred ten billion, eight hundred forty-nine million, eight hundred thirty-six thousand, two hundred twenty-four".