4171789440 has 768 divisors, whose sum is σ = 18558288000. Its totient is φ = 877879296.

The previous prime is 4171789439. The next prime is 4171789481. The reversal of 4171789440 is 449871714.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 11007171 + ... + 11007549.

Almost surely, 2^4171789440 is an apocalyptic number.

4171789440 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 4171789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9279144000).

4171789440 is an abundant number, since it is smaller than the sum of its proper divisors (14386498560).

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

4171789440 is a wasteful number, since it uses less digits than its factorization.

4171789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4171789440 is about 64589.3910793406. The cubic root of 4171789440 is about 1609.8081687006.

The spelling of 4171789440 in words is "four billion, one hundred seventy-one million, seven hundred eighty-nine thousand, four hundred forty".