4621106406 has 48 divisors (see below), whose sum is σ = 10772138160. Its totient is φ = 1317738240.

The previous prime is 4621106401. The next prime is 4621106417. The reversal of 4621106406 is 6046011264.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621106401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138090 + ... + 168258.

It is an arithmetic number, because the mean of its divisors is an integer number (224419545).

Almost surely, 2^4621106406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4621106406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386069080).

4621106406 is an abundant number, since it is smaller than the sum of its proper divisors (6151031754).

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

4621106406 is a wasteful number, since it uses less digits than its factorization.

4621106406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30709 (or 30702 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4621106406 is about 67978.7202439116. The cubic root of 4621106406 is about 1665.6432515326.

The spelling of 4621106406 in words is "four billion, six hundred twenty-one million, one hundred six thousand, four hundred six".