4066672830528 has 1008 divisors, whose sum is σ = 14263157135808. Its totient is φ = 1018936934400.

The previous prime is 4066672830511. The next prime is 4066672830547. The reversal of 4066672830528 is 8250382766604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45692953108 + ... + 45692953196.

It is an arithmetic number, because the mean of its divisors is an integer number (14149957476).

Almost surely, 2^{4066672830528} is an apocalyptic number.

4066672830528 is a gapful number since it is divisible by the number (48) 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 4066672830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131578567904).

4066672830528 is an abundant number, since it is smaller than the sum of its proper divisors (10196484305280).

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

4066672830528 is an equidigital number, since it uses as much as digits as its factorization.

4066672830528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 4066672830528 in words is "four trillion, sixty-six billion, six hundred seventy-two million, eight hundred thirty thousand, five hundred twenty-eight".