4097872480 has 96 divisors (see below), whose sum is σ = 10668629664. Its totient is φ = 1477840896.

The previous prime is 4097872477. The next prime is 4097872489. The reversal of 4097872480 is 842787904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097872489) by changing a digit.

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, 66532 + ... + 112348.

It is an arithmetic number, because the mean of its divisors is an integer number (111131559).

Almost surely, 2^4097872480 is an apocalyptic number.

4097872480 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 4097872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334314832).

4097872480 is an abundant number, since it is smaller than the sum of its proper divisors (6570757184).

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

4097872480 is a wasteful number, since it uses less digits than its factorization.

4097872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45888 (or 45880 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 4097872480 is about 64014.6270785045. The cubic root of 4097872480 is about 1600.2437753566.

The spelling of 4097872480 in words is "four billion, ninety-seven million, eight hundred seventy-two thousand, four hundred eighty".