48388117040640 has 3840 divisors, whose sum is σ = 208480656384000. Its totient is φ = 10247611613184.

The previous prime is 48388117040597. The next prime is 48388117040693. The reversal of 48388117040640 is 4604071188384.

48388117040640 is a `hidden beast` number, since 4 + 8 + 3 + 88 + 117 + 0 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 324752463286 + ... + 324752463434.

It is an arithmetic number, because the mean of its divisors is an integer number (54291837600).

Almost surely, 2^{48388117040640} is an apocalyptic number.

48388117040640 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 48388117040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104240328192000).

48388117040640 is an abundant number, since it is smaller than the sum of its proper divisors (160092539343360).

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

48388117040640 is a wasteful number, since it uses less digits than its factorization.

48388117040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

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

The spelling of 48388117040640 in words is "forty-eight trillion, three hundred eighty-eight billion, one hundred seventeen million, forty thousand, six hundred forty".