48408927840 has 864 divisors, whose sum is σ = 206873424576. Its totient is φ = 10092625920.

The previous prime is 48408927829. The next prime is 48408927851. The reversal of 48408927840 is 4872980484.

48408927840 is a `hidden beast` number, since 48 + 408 + 92 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (48408927829) and next prime (48408927851).

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 143 ways as a sum of consecutive naturals, for example, 267452550 + ... + 267452730.

It is an arithmetic number, because the mean of its divisors is an integer number (239436834).

Almost surely, 2^48408927840 is an apocalyptic number.

48408927840 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 48408927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103436712288).

48408927840 is an abundant number, since it is smaller than the sum of its proper divisors (158464496736).

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

48408927840 is a wasteful number, since it uses less digits than its factorization.

48408927840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48408927840 in words is "forty-eight billion, four hundred eight million, nine hundred twenty-seven thousand, eight hundred forty".