3066440610000 has 400 divisors, whose sum is σ = 10125379541376. Its totient is φ = 799129344000.

The previous prime is 3066440609989. The next prime is 3066440610001. The reversal of 3066440610000 is 160446603.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3066440610000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066440610001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 418166334 + ... + 418173666.

Almost surely, 2^{3066440610000} is an apocalyptic number.

3066440610000 is a gapful number since it is divisible by the number (30) 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 3066440610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062689770688).

3066440610000 is an abundant number, since it is smaller than the sum of its proper divisors (7058938931376).

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

3066440610000 is a wasteful number, since it uses less digits than its factorization.

3066440610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 3066440610000 in words is "three trillion, sixty-six billion, four hundred forty million, six hundred ten thousand".