48071593009440 has 3456 divisors, whose sum is σ = 241790301365760. Its totient is φ = 8818227855360.

The previous prime is 48071593009313. The next prime is 48071593009459. The reversal of 48071593009440 is 4490039517084.

48071593009440 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 1 + 593 + 0 + 0 + 9 + 4 + 40 = 666.

It is a super-3 number, since 3×48071593009440³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 575 ways as a sum of consecutive naturals, for example, 7658367582 + ... + 7658373858.

It is an arithmetic number, because the mean of its divisors is an integer number (69962471460).

Almost surely, 2^{48071593009440} is an apocalyptic number.

48071593009440 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 48071593009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120895150682880).

48071593009440 is an abundant number, since it is smaller than the sum of its proper divisors (193718708356320).

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

48071593009440 is a wasteful number, since it uses less digits than its factorization.

48071593009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 48071593009440 in words is "forty-eight trillion, seventy-one billion, five hundred ninety-three million, nine thousand, four hundred forty".