48800444080 has 80 divisors (see below), whose sum is σ = 115783401888. Its totient is φ = 19123200000.

The previous prime is 48800444071. The next prime is 48800444083. The reversal of 48800444080 is 8044400884.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

48800444080 is a modest number, since divided by 444080 gives 48800 as remainder.

It is not an unprimeable number, because it can be changed into a prime (48800444083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204960 + ... + 1244800.

Almost surely, 2^48800444080 is an apocalyptic number.

48800444080 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 48800444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57891700944).

48800444080 is an abundant number, since it is smaller than the sum of its proper divisors (66982957808).

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

48800444080 is a wasteful number, since it uses less digits than its factorization.

48800444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40166 (or 40160 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 48800444080 in words is "forty-eight billion, eight hundred million, four hundred forty-four thousand, eighty".