48382552643040 has 1152 divisors, whose sum is σ = 211809659443200. Its totient is φ = 9763271884800.

The previous prime is 48382552642999. The next prime is 48382552643059. The reversal of 48382552643040 is 4034625528384.

48382552643040 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 2 + 552 + 6 + 43 + 0 + 40 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2219474061 + ... + 2219495859.

It is an arithmetic number, because the mean of its divisors is an integer number (183862551600).

Almost surely, 2^{48382552643040} is an apocalyptic number.

48382552643040 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 48382552643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105904829721600).

48382552643040 is an abundant number, since it is smaller than the sum of its proper divisors (163427106800160).

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

48382552643040 is a wasteful number, since it uses less digits than its factorization.

48382552643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22416 (or 22405 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 48382552643040 in words is "forty-eight trillion, three hundred eighty-two billion, five hundred fifty-two million, six hundred forty-three thousand, forty".