4165019880 has 256 divisors, whose sum is σ = 14817116160. Its totient is φ = 916531200.

The previous prime is 4165019857. The next prime is 4165019897. The reversal of 4165019880 is 889105614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7994020 + ... + 7994540.

It is an arithmetic number, because the mean of its divisors is an integer number (57879360).

Almost surely, 2^4165019880 is an apocalyptic number.

4165019880 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 4165019880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408558080).

4165019880 is an abundant number, since it is smaller than the sum of its proper divisors (10652096280).

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

4165019880 is a wasteful number, since it uses less digits than its factorization.

4165019880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 4165019880 is about 64536.9652214915. The cubic root of 4165019880 is about 1608.9369524018.

The spelling of 4165019880 in words is "four billion, one hundred sixty-five million, nineteen thousand, eight hundred eighty".