4806345433200 has 120 divisors (see below), whose sum is σ = 15607235404848. Its totient is φ = 1264134666240.

The previous prime is 4806345433187. The next prime is 4806345433207. The reversal of 4806345433200 is 23345436084.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×4806345433200³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806345433207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27345879 + ... + 27521078.

Almost surely, 2^{4806345433200} is an apocalyptic number.

4806345433200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4806345433200 is an abundant number, since it is smaller than the sum of its proper divisors (10800889971648).

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

4806345433200 is a wasteful number, since it uses less digits than its factorization.

4806345433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54867051 (or 54867040 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 4806345433200 in words is "four trillion, eight hundred six billion, three hundred forty-five million, four hundred thirty-three thousand, two hundred".