4809042201600 has 3168 divisors, whose sum is σ = 22470072934400. Its totient is φ = 975421440000.

The previous prime is 4809042201541. The next prime is 4809042201611. The reversal of 4809042201600 is 61022409084.

4809042201600 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 0 + 42 + 2 + 0 + 1 + 600 = 666.

It is a super-3 number, since 3×4809042201600³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31847961525 + ... + 31847961675.

Almost surely, 2^{4809042201600} is an apocalyptic number.

4809042201600 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 4809042201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11235036467200).

4809042201600 is an abundant number, since it is smaller than the sum of its proper divisors (17661030732800).

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

4809042201600 is a wasteful number, since it uses less digits than its factorization.

4809042201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4809042201600 in words is "four trillion, eight hundred nine billion, forty-two million, two hundred one thousand, six hundred".