4170921984 has 432 divisors, whose sum is σ = 13728241800. Its totient is φ = 1263403008.

The previous prime is 4170921949. The next prime is 4170921991. The reversal of 4170921984 is 4891290714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4170921984² = 34793180393228992512, which contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 143824882 + ... + 143824910.

Almost surely, 2^4170921984 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 4170921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864120900).

4170921984 is an abundant number, since it is smaller than the sum of its proper divisors (9557319816).

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

4170921984 is an equidigital number, since it uses as much as digits as its factorization.

4170921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 4170921984 is about 64582.6755717042. The cubic root of 4170921984 is about 1609.6965831269.

The spelling of 4170921984 in words is "four billion, one hundred seventy million, nine hundred twenty-one thousand, nine hundred eighty-four".