48648403440 has 640 divisors, whose sum is σ = 210486528000. Its totient is φ = 10262246400.

The previous prime is 48648403429. The next prime is 48648403459. The reversal of 48648403440 is 4430484684.

It is a super-2 number, since 2×48648403440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9628915 + ... + 9633965.

It is an arithmetic number, because the mean of its divisors is an integer number (328885200).

Almost surely, 2^48648403440 is an apocalyptic number.

48648403440 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 48648403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105243264000).

48648403440 is an abundant number, since it is smaller than the sum of its proper divisors (161838124560).

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

48648403440 is a wasteful number, since it uses less digits than its factorization.

48648403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 48648403440 in words is "forty-eight billion, six hundred forty-eight million, four hundred three thousand, four hundred forty".