3066413418432 has 1008 divisors, whose sum is σ = 11231069670912. Its totient is φ = 778893926400.

The previous prime is 3066413418427. The next prime is 3066413418479. The reversal of 3066413418432 is 2348143146603.

3066413418432 is a `hidden beast` number, since 30 + 66 + 413 + 41 + 84 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10835382963 + ... + 10835383245.

Almost surely, 2^{3066413418432} is an apocalyptic number.

3066413418432 is a gapful number since it is divisible by the number (32) 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 3066413418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615534835456).

3066413418432 is an abundant number, since it is smaller than the sum of its proper divisors (8164656252480).

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

3066413418432 is a wasteful number, since it uses less digits than its factorization.

3066413418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3066413418432 in words is "three trillion, sixty-six billion, four hundred thirteen million, four hundred eighteen thousand, four hundred thirty-two".