4242528867600 has 225 divisors, whose sum is σ = 15227426375733. Its totient is φ = 1131242163840.

The previous prime is 4242528867569. The next prime is 4242528867611. The reversal of 4242528867600 is 67688252424.

The square root of 4242528867600 is 2059740.

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

4242528867600 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 5 + 28 + 8 + 6 + 7 + 600 = 666.

4242528867600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1527310392336 + 2715218475264 = 1235844^2 + 1647792^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 370747479 + ... + 370758921.

Almost surely, 2^{4242528867600} is an apocalyptic number.

4242528867600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4242528867600 is the 2059740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242528867600

4242528867600 is an abundant number, since it is smaller than the sum of its proper divisors (10984897508133).

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

4242528867600 is an frugal number, since it uses more digits than its factorization.

4242528867600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22916 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4242528867600 in words is "four trillion, two hundred forty-two billion, five hundred twenty-eight million, eight hundred sixty-seven thousand, six hundred".