48214071967040 has 448 divisors, whose sum is σ = 137238477465600. Its totient is φ = 15784065368064.

The previous prime is 48214071967037. The next prime is 48214071967093. The reversal of 48214071967040 is 4076917041284.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12999208706 + ... + 12999212414.

It is an arithmetic number, because the mean of its divisors is an integer number (306335887200).

Almost surely, 2^{48214071967040} is an apocalyptic number.

48214071967040 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 48214071967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68619238732800).

48214071967040 is an abundant number, since it is smaller than the sum of its proper divisors (89024405498560).

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

48214071967040 is a wasteful number, since it uses less digits than its factorization.

48214071967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The spelling of 48214071967040 in words is "forty-eight trillion, two hundred fourteen billion, seventy-one million, nine hundred sixty-seven thousand, forty".