4016065872 has 480 divisors, whose sum is σ = 14185758720. Its totient is φ = 966712320.

The previous prime is 4016065847. The next prime is 4016065901. The reversal of 4016065872 is 2785606104.

It is a super-2 number, since 2×4016065872² = 32257570176486240768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4016065872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18009153 + ... + 18009375.

It is an arithmetic number, because the mean of its divisors is an integer number (29553664).

Almost surely, 2^4016065872 is an apocalyptic number.

4016065872 is a gapful number since it is divisible by the number (42) 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 4016065872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092879360).

4016065872 is an abundant number, since it is smaller than the sum of its proper divisors (10169692848).

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

4016065872 is a wasteful number, since it uses less digits than its factorization.

4016065872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4016065872 is about 63372.4377943598. The cubic root of 4016065872 is about 1589.5234614788.

The spelling of 4016065872 in words is "four billion, sixteen million, sixty-five thousand, eight hundred seventy-two".