48242135306240 has 624 divisors, whose sum is σ = 124247630315520. Its totient is φ = 17975252090880.

The previous prime is 48242135306201. The next prime is 48242135306251. The reversal of 48242135306240 is 4260353124284.

It is a junction number, because it is equal to n+sod(n) for n = 48242135306191 and 48242135306200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 179338792826 + ... + 179338793094.

Almost surely, 2^{48242135306240} is an apocalyptic number.

48242135306240 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 48242135306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62123815157760).

48242135306240 is an abundant number, since it is smaller than the sum of its proper divisors (76005495009280).

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

48242135306240 is a wasteful number, since it uses less digits than its factorization.

48242135306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 48242135306240 in words is "forty-eight trillion, two hundred forty-two billion, one hundred thirty-five million, three hundred six thousand, two hundred forty".