48375806941440 has 432 divisors, whose sum is σ = 186837512621760. Its totient is φ = 11454735237120.

The previous prime is 48375806941417. The next prime is 48375806941513. The reversal of 48375806941440 is 4414960857384.

48375806941440 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 580 + 6 + 9 + 4 + 1 + 4 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009966 + ... + 9887954.

It is an arithmetic number, because the mean of its divisors is an integer number (432494242180).

Almost surely, 2^{48375806941440} is an apocalyptic number.

48375806941440 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 48375806941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93418756310880).

48375806941440 is an abundant number, since it is smaller than the sum of its proper divisors (138461705680320).

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

48375806941440 is a wasteful number, since it uses less digits than its factorization.

48375806941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878070 (or 8878053 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 48375806941440 in words is "forty-eight trillion, three hundred seventy-five billion, eight hundred six million, nine hundred forty-one thousand, four hundred forty".