3066060124400 has 360 divisors, whose sum is σ = 9302027176800. Its totient is φ = 970350151680.

The previous prime is 3066060124397. The next prime is 3066060124411. The reversal of 3066060124400 is 44210606603.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 23120684 + ... + 23252916.

It is an arithmetic number, because the mean of its divisors is an integer number (25838964380).

Almost surely, 2^{3066060124400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066060124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651013588400).

3066060124400 is an abundant number, since it is smaller than the sum of its proper divisors (6235967052400).

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

3066060124400 is a wasteful number, since it uses less digits than its factorization.

3066060124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132298 (or 132260 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 3066060124400 in words is "three trillion, sixty-six billion, sixty million, one hundred twenty-four thousand, four hundred".