4792841449200 has 540 divisors, whose sum is σ = 20015193711240. Its totient is φ = 1057729397760.

The previous prime is 4792841449181. The next prime is 4792841449211. The reversal of 4792841449200 is 29441482974.

4792841449200 is a `hidden beast` number, since 4 + 79 + 2 + 84 + 1 + 4 + 492 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4647147 + ... + 5584053.

Almost surely, 2^{4792841449200} is an apocalyptic number.

4792841449200 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 4792841449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007596855620).

4792841449200 is an abundant number, since it is smaller than the sum of its proper divisors (15222352262040).

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

4792841449200 is a wasteful number, since it uses less digits than its factorization.

4792841449200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936974 (or 936953 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4792841449200 in words is "four trillion, seven hundred ninety-two billion, eight hundred forty-one million, four hundred forty-nine thousand, two hundred".