48084800440 has 64 divisors (see below), whose sum is σ = 109652428800. Its totient is φ = 18974487168.

The previous prime is 48084800419. The next prime is 48084800453. The reversal of 48084800440 is 4400848084.

48084800440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48084800440³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48084800393 and 48084800402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4187587 + ... + 4199053.

It is an arithmetic number, because the mean of its divisors is an integer number (1713319200).

Almost surely, 2^48084800440 is an apocalyptic number.

48084800440 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 48084800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54826214400).

48084800440 is an abundant number, since it is smaller than the sum of its proper divisors (61567628360).

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

48084800440 is a wasteful number, since it uses less digits than its factorization.

48084800440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12884 (or 12880 counting only the distinct ones).

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

The spelling of 48084800440 in words is "forty-eight billion, eighty-four million, eight hundred thousand, four hundred forty".