4168190880 has 768 divisors, whose sum is σ = 17781120000. Its totient is φ = 910393344.

The previous prime is 4168190879. The next prime is 4168190941. The reversal of 4168190880 is 880918614.

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 127 ways as a sum of consecutive naturals, for example, 42970992 + ... + 42971088.

It is an arithmetic number, because the mean of its divisors is an integer number (23152500).

Almost surely, 2^4168190880 is an apocalyptic number.

4168190880 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 4168190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890560000).

4168190880 is an abundant number, since it is smaller than the sum of its proper divisors (13612929120).

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

4168190880 is a wasteful number, since it uses less digits than its factorization.

4168190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 4168190880 is about 64561.5278629619. The cubic root of 4168190880 is about 1609.3451653275.

The spelling of 4168190880 in words is "four billion, one hundred sixty-eight million, one hundred ninety thousand, eight hundred eighty".