4099170816 has 240 divisors, whose sum is σ = 13059086040. Its totient is φ = 1229783040.

The previous prime is 4099170809. The next prime is 4099170833. The reversal of 4099170816 is 6180719904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1772073216 + 2327097600 = 42096^2 + 48240^2 .

It is a super-2 number, since 2×4099170816² = 33606402757492211712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455230 + ... + 2456898.

Almost surely, 2^4099170816 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 4099170816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529543020).

4099170816 is an abundant number, since it is smaller than the sum of its proper divisors (8959915224).

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

4099170816 is a wasteful number, since it uses less digits than its factorization.

4099170816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 4099170816 is about 64024.7672076986. The cubic root of 4099170816 is about 1600.4127601757.

The spelling of 4099170816 in words is "four billion, ninety-nine million, one hundred seventy thousand, eight hundred sixteen".