4085420416 has 256 divisors, whose sum is σ = 11051251200. Its totient is φ = 1455390720.

The previous prime is 4085420377. The next prime is 4085420461. The reversal of 4085420416 is 6140245804.

It is a super-2 number, since 2×4085420416² = 33381319950939226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6199095 + ... + 6199753.

It is an arithmetic number, because the mean of its divisors is an integer number (43168950).

Almost surely, 2^4085420416 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 4085420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525625600).

4085420416 is an abundant number, since it is smaller than the sum of its proper divisors (6965830784).

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

4085420416 is a wasteful number, since it uses less digits than its factorization.

4085420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 4085420416 is about 63917.2935597245. The cubic root of 4085420416 is about 1598.6212622677.

The spelling of 4085420416 in words is "four billion, eighty-five million, four hundred twenty thousand, four hundred sixteen".