48816704471040 has 1200 divisors, whose sum is σ = 194539440553920. Its totient is φ = 11610142801920.

The previous prime is 48816704471027. The next prime is 48816704471053. The reversal of 48816704471040 is 4017440761884.

48816704471040 is a `hidden beast` number, since 4 + 8 + 8 + 167 + 0 + 4 + 471 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48816704471027) and next prime (48816704471053).

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3868501851 + ... + 3868514469.

Almost surely, 2^{48816704471040} is an apocalyptic number.

48816704471040 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 48816704471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97269720276960).

48816704471040 is an abundant number, since it is smaller than the sum of its proper divisors (145722736082880).

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

48816704471040 is a wasteful number, since it uses less digits than its factorization.

48816704471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12693 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 48816704471040 in words is "forty-eight trillion, eight hundred sixteen billion, seven hundred four million, four hundred seventy-one thousand, forty".