4005098496 has 330 divisors, whose sum is σ = 13565808802. Its totient is φ = 1137991680.

The previous prime is 4005098443. The next prime is 4005098519. The reversal of 4005098496 is 6948905004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2212761600 + 1792336896 = 47040^2 + 42336^2 .

It is a super-2 number, since 2×4005098496² = 32081627925322924032, 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 29 ways as a sum of consecutive naturals, for example, 22127526 + ... + 22127706.

Almost surely, 2^4005098496 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 4005098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782904401).

4005098496 is an abundant number, since it is smaller than the sum of its proper divisors (9560710306).

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

4005098496 is an equidigital number, since it uses as much as digits as its factorization.

4005098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4005098496 is about 63285.8475174347. The cubic root of 4005098496 is about 1588.0752121085.

The spelling of 4005098496 in words is "four billion, five million, ninety-eight thousand, four hundred ninety-six".