48352400040 has 256 divisors, whose sum is σ = 180135936000. Its totient is φ = 10132439040.

The previous prime is 48352400039. The next prime is 48352400053. The reversal of 48352400040 is 4000425384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48352399980 and 48352400007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445896 + ... + 543624.

It is an arithmetic number, because the mean of its divisors is an integer number (703656000).

Almost surely, 2^48352400040 is an apocalyptic number.

48352400040 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 48352400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90067968000).

48352400040 is an abundant number, since it is smaller than the sum of its proper divisors (131783535960).

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

48352400040 is a wasteful number, since it uses less digits than its factorization.

48352400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97800 (or 97796 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 48352400040 in words is "forty-eight billion, three hundred fifty-two million, four hundred thousand, forty".