4091892528672 has 1152 divisors, whose sum is σ = 13863725890560. Its totient is φ = 1178343936000.

The previous prime is 4091892528671. The next prime is 4091892528707. The reversal of 4091892528672 is 2768252981904.

4091892528672 is a `hidden beast` number, since 4 + 0 + 9 + 18 + 92 + 528 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4091892528671) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 16302360547 + ... + 16302360797.

It is an arithmetic number, because the mean of its divisors is an integer number (12034484280).

Almost surely, 2^{4091892528672} 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 4091892528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931862945280).

4091892528672 is an abundant number, since it is smaller than the sum of its proper divisors (9771833361888).

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

4091892528672 is a wasteful number, since it uses less digits than its factorization.

4091892528672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 4091892528672 in words is "four trillion, ninety-one billion, eight hundred ninety-two million, five hundred twenty-eight thousand, six hundred seventy-two".