4084459968 has 112 divisors (see below), whose sum is σ = 11321588736. Its totient is φ = 1297105920.

The previous prime is 4084459949. The next prime is 4084459979. The reversal of 4084459968 is 8699544804.

It is a super-2 number, since 2×4084459968² = 33365626460389122048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195030 + ... + 1198442.

Almost surely, 2^4084459968 is an apocalyptic number.

4084459968 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 4084459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660794368).

4084459968 is an abundant number, since it is smaller than the sum of its proper divisors (7237128768).

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

4084459968 is a wasteful number, since it uses less digits than its factorization.

4084459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The square root of 4084459968 is about 63909.7799088684. The cubic root of 4084459968 is about 1598.4959783089.

The spelling of 4084459968 in words is "four billion, eighty-four million, four hundred fifty-nine thousand, nine hundred sixty-eight".