48800084440 has 32 divisors (see below), whose sum is σ = 109811580480. Its totient is φ = 19518008832.

The previous prime is 48800084393. The next prime is 48800084441. The reversal of 48800084440 is 4448000884.

It is a super-2 number, since 2×48800084440² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 = 48800084393 and 48800084402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48800084441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362497 + ... + 478543.

It is an arithmetic number, because the mean of its divisors is an integer number (3431611890).

Almost surely, 2^48800084440 is an apocalyptic number.

48800084440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48800084440 is an abundant number, since it is smaller than the sum of its proper divisors (61011496040).

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

48800084440 is a wasteful number, since it uses less digits than its factorization.

48800084440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126571 (or 126567 counting only the distinct ones).

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

It can be divided in two parts, 488000844 and 40, that added together give a palindrome (488000884).

The spelling of 48800084440 in words is "forty-eight billion, eight hundred million, eighty-four thousand, four hundred forty".