4608000005406 has 128 divisors (see below), whose sum is σ = 11577118924800. Its totient is φ = 1192207040640.

The previous prime is 4608000005393. The next prime is 4608000005407. The reversal of 4608000005406 is 6045000008064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608000005407) 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 63 ways as a sum of consecutive naturals, for example, 26140021 + ... + 26315711.

It is an arithmetic number, because the mean of its divisors is an integer number (90446241600).

Almost surely, 2^{4608000005406} is an apocalyptic number.

4608000005406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4608000005406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788559462400).

4608000005406 is an abundant number, since it is smaller than the sum of its proper divisors (6969118919394).

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

4608000005406 is a wasteful number, since it uses less digits than its factorization.

4608000005406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177174.

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 4608000005406 in words is "four trillion, six hundred eight billion, five thousand, four hundred six".