4242973783104 has 945 divisors, whose sum is σ = 15100082386389. Its totient is φ = 1174607723520.

The previous prime is 4242973783099. The next prime is 4242973783121. The reversal of 4242973783104 is 4013873792424.

The square root of 4242973783104 is 2059848.

It is a perfect power (a square), and thus also a powerful number.

4242973783104 is a `hidden beast` number, since 4 + 2 + 4 + 297 + 37 + 8 + 310 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137973616704 + 4105000166400 = 371448^2 + 2026080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 63327966879 + ... + 63327966945.

Almost surely, 2^{4242973783104} is an apocalyptic number.

4242973783104 is the 2059848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242973783104

4242973783104 is an abundant number, since it is smaller than the sum of its proper divisors (10857108603285).

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

4242973783104 is an frugal number, since it uses more digits than its factorization.

4242973783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4242973783104 in words is "four trillion, two hundred forty-two billion, nine hundred seventy-three million, seven hundred eighty-three thousand, one hundred four".