4955406336 has 160 divisors (see below), whose sum is σ = 14812744980. Its totient is φ = 1650917376.

The previous prime is 4955406331. The next prime is 4955406343. The reversal of 4955406336 is 6336045594.

4955406336 is a `hidden beast` number, since 4 + 9 + 5 + 5 + 4 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4955406291 and 4955406300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4955406331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2653275 + ... + 2655141.

Almost surely, 2^4955406336 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 4955406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406372490).

4955406336 is an abundant number, since it is smaller than the sum of its proper divisors (9857338644).

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

4955406336 is an frugal number, since it uses more digits than its factorization.

4955406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 4955406336 is about 70394.6470692197. The cubic root of 4955406336 is about 1704.8771520493.

The spelling of 4955406336 in words is "four billion, nine hundred fifty-five million, four hundred six thousand, three hundred thirty-six".