48928862125440 has 3072 divisors, whose sum is σ = 216135929318400. Its totient is φ = 10422756311040.

The previous prime is 48928862125379. The next prime is 48928862125441. The reversal of 48928862125440 is 4452126882984.

48928862125440 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 8 + 8 + 62 + 125 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48928862125441) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 40337066274 + ... + 40337067486.

It is an arithmetic number, because the mean of its divisors is an integer number (70356747825).

Almost surely, 2^{48928862125440} is an apocalyptic number.

48928862125440 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 48928862125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108067964659200).

48928862125440 is an abundant number, since it is smaller than the sum of its proper divisors (167207067192960).

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

48928862125440 is a wasteful number, since it uses less digits than its factorization.

48928862125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 48928862125440 in words is "forty-eight trillion, nine hundred twenty-eight billion, eight hundred sixty-two million, one hundred twenty-five thousand, four hundred forty".