4190827565568 has 320 divisors, whose sum is σ = 13743510359040. Its totient is φ = 1107976568832.

The previous prime is 4190827565567. The next prime is 4190827565599. The reversal of 4190827565568 is 8655657280914.

It is a junction number, because it is equal to n+sod(n) for n = 4190827565499 and 4190827565508.

It is not an unprimeable number, because it can be changed into a prime (4190827565567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8545846 + ... + 9022922.

It is an arithmetic number, because the mean of its divisors is an integer number (42948469872).

Almost surely, 2^{4190827565568} is an apocalyptic number.

4190827565568 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 4190827565568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871755179520).

4190827565568 is an abundant number, since it is smaller than the sum of its proper divisors (9552682793472).

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

4190827565568 is a wasteful number, since it uses less digits than its factorization.

4190827565568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477167 (or 477151 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 66.

The spelling of 4190827565568 in words is "four trillion, one hundred ninety billion, eight hundred twenty-seven million, five hundred sixty-five thousand, five hundred sixty-eight".