48318013440 has 168 divisors, whose sum is σ = 167493500928. Its totient is φ = 12884705280.

The previous prime is 48318013427. The next prime is 48318013451. The reversal of 48318013440 is 4431081384.

48318013440 is a `hidden beast` number, since 483 + 1 + 8 + 0 + 134 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48318013395 and 48318013404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303105 + ... + 434175.

Almost surely, 2^48318013440 is an apocalyptic number.

48318013440 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 48318013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83746750464).

48318013440 is an abundant number, since it is smaller than the sum of its proper divisors (119175487488).

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

48318013440 is a wasteful number, since it uses less digits than its factorization.

48318013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131108 (or 131081 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 48318013440 in words is "forty-eight billion, three hundred eighteen million, thirteen thousand, four hundred forty".