49136940588960 has 960 divisors, whose sum is σ = 211555271854080. Its totient is φ = 10490291804160.

The previous prime is 49136940588937. The next prime is 49136940588971. The reversal of 49136940588960 is 6988504963194.

49136940588960 is a `hidden beast` number, since 4 + 9 + 1 + 36 + 9 + 4 + 0 + 588 + 9 + 6 + 0 = 666.

49136940588960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 122180527 + ... + 122582033.

It is an arithmetic number, because the mean of its divisors is an integer number (220370074848).

Almost surely, 2^{49136940588960} is an apocalyptic number.

49136940588960 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 49136940588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105777635927040).

49136940588960 is an abundant number, since it is smaller than the sum of its proper divisors (162418331265120).

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

49136940588960 is a wasteful number, since it uses less digits than its factorization.

49136940588960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401631 (or 401614 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 49136940588960 in words is "forty-nine trillion, one hundred thirty-six billion, nine hundred forty million, five hundred eighty-eight thousand, nine hundred sixty".