4189780044800 has 792 divisors, whose sum is σ = 12778310707200. Its totient is φ = 1354349445120.

The previous prime is 4189780044757. The next prime is 4189780044817. The reversal of 4189780044800 is 84400879814.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8746930961 + ... + 8746931439.

Almost surely, 2^{4189780044800} is an apocalyptic number.

4189780044800 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 4189780044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389155353600).

4189780044800 is an abundant number, since it is smaller than the sum of its proper divisors (8588530662400).

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

4189780044800 is a wasteful number, since it uses less digits than its factorization.

4189780044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 53.

The spelling of 4189780044800 in words is "four trillion, one hundred eighty-nine billion, seven hundred eighty million, forty-four thousand, eight hundred".