4039172480 has 128 divisors (see below), whose sum is σ = 11270983680. Its totient is φ = 1355323392.

The previous prime is 4039172479. The next prime is 4039172491. The reversal of 4039172480 is 842719304.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200969 + ... + 220151.

It is an arithmetic number, because the mean of its divisors is an integer number (88054560).

Almost surely, 2^4039172480 is an apocalyptic number.

4039172480 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 4039172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635491840).

4039172480 is an abundant number, since it is smaller than the sum of its proper divisors (7231811200).

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

4039172480 is a wasteful number, since it uses less digits than its factorization.

4039172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19256 (or 19244 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4039172480 is about 63554.4843421768. The cubic root of 4039172480 is about 1592.5660975090.

The spelling of 4039172480 in words is "four billion, thirty-nine million, one hundred seventy-two thousand, four hundred eighty".