4069095840 has 180 divisors, whose sum is σ = 14232934170. Its totient is φ = 1058626560.

The previous prime is 4069095827. The next prime is 4069095851. The reversal of 4069095840 is 485909604.

It is a happy number.

4069095840 is a `hidden beast` number, since 4 + 0 + 69 + 0 + 9 + 584 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2120049936 + 1949045904 = 46044^2 + 44148^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 99246220 + ... + 99246260.

Almost surely, 2^4069095840 is an apocalyptic number.

4069095840 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 4069095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116467085).

4069095840 is an abundant number, since it is smaller than the sum of its proper divisors (10163838330).

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

4069095840 is an frugal number, since it uses more digits than its factorization.

4069095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 51 counting only the distinct ones).

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

The square root of 4069095840 is about 63789.4649609165. The cubic root of 4069095840 is about 1596.4891560356.

The spelling of 4069095840 in words is "four billion, sixty-nine million, ninety-five thousand, eight hundred forty".