4182945942528 has 132 divisors (see below), whose sum is σ = 12080178622408. Its totient is φ = 1394082938880.

The previous prime is 4182945942499. The next prime is 4182945942587. The reversal of 4182945942528 is 8252495492814.

4182945942528 is a `hidden beast` number, since 4 + 1 + 8 + 29 + 45 + 9 + 42 + 528 = 666.

It is a super-2 number, since 2×4182945942528² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60523800 + ... + 60592872.

Almost surely, 2^{4182945942528} is an apocalyptic number.

4182945942528 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 4182945942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040089311204).

4182945942528 is an abundant number, since it is smaller than the sum of its proper divisors (7897232679880).

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

4182945942528 is a wasteful number, since it uses less digits than its factorization.

4182945942528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75670 (or 75649 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 4182945942528 in words is "four trillion, one hundred eighty-two billion, nine hundred forty-five million, nine hundred forty-two thousand, five hundred twenty-eight".