4084160640 has 512 divisors, whose sum is σ = 15717335040. Its totient is φ = 882524160.

The previous prime is 4084160621. The next prime is 4084160659. The reversal of 4084160640 is 460614804.

4084160640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4084160621) and next prime (4084160659).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21382945 + ... + 21383135.

It is an arithmetic number, because the mean of its divisors is an integer number (30697920).

Almost surely, 2^4084160640 is an apocalyptic number.

4084160640 is a gapful number since it is divisible by the number (40) 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 4084160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858667520).

4084160640 is an abundant number, since it is smaller than the sum of its proper divisors (11633174400).

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

4084160640 is a wasteful number, since it uses less digits than its factorization.

4084160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4084160640 is about 63907.4380647511. The cubic root of 4084160640 is about 1598.4569289775.

The spelling of 4084160640 in words is "four billion, eighty-four million, one hundred sixty thousand, six hundred forty".