4406685422832 has 2880 divisors, whose sum is σ = 18482017075200. Its totient is φ = 995844326400.

The previous prime is 4406685422791. The next prime is 4406685422833. The reversal of 4406685422832 is 2382245866044.

4406685422832 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 68 + 542 + 2 + 8 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406685422833) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34698310353 + ... + 34698310479.

It is an arithmetic number, because the mean of its divisors is an integer number (6417367040).

Almost surely, 2^{4406685422832} is an apocalyptic number.

4406685422832 is a gapful number since it is divisible by the number (42) 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 4406685422832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241008537600).

4406685422832 is an abundant number, since it is smaller than the sum of its proper divisors (14075331652368).

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

4406685422832 is a wasteful number, since it uses less digits than its factorization.

4406685422832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 4406685422832 in words is "four trillion, four hundred six billion, six hundred eighty-five million, four hundred twenty-two thousand, eight hundred thirty-two".