4905080809200 has 3600 divisors, whose sum is σ = 22356672509952. Its totient is φ = 1018967040000.

The previous prime is 4905080809193. The next prime is 4905080809243. The reversal of 4905080809200 is 29080805094.

4905080809200 is a `hidden beast` number, since 49 + 0 + 508 + 0 + 80 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 69085645165 + ... + 69085645235.

Almost surely, 2^{4905080809200} is an apocalyptic number.

4905080809200 is a gapful number since it is divisible by the number (40) 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 4905080809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178336254976).

4905080809200 is an abundant number, since it is smaller than the sum of its proper divisors (17451591700752).

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

4905080809200 is a wasteful number, since it uses less digits than its factorization.

4905080809200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4905080809200 in words is "four trillion, nine hundred five billion, eighty million, eight hundred nine thousand, two hundred".