4961661364800 has 1512 divisors, whose sum is σ = 21718841601600. Its totient is φ = 1069332848640.

The previous prime is 4961661364799. The next prime is 4961661364817. The reversal of 4961661364800 is 84631661694.

4961661364800 is a `hidden beast` number, since 4 + 9 + 6 + 16 + 613 + 6 + 4 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 879880381 + ... + 879886019.

Almost surely, 2^{4961661364800} is an apocalyptic number.

4961661364800 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 4961661364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859420800800).

4961661364800 is an abundant number, since it is smaller than the sum of its proper divisors (16757180236800).

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

4961661364800 is a wasteful number, since it uses less digits than its factorization.

4961661364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4961661364800 in words is "four trillion, nine hundred sixty-one billion, six hundred sixty-one million, three hundred sixty-four thousand, eight hundred".