49116445757440 has 208 divisors, whose sum is σ = 122169692221200. Its totient is φ = 18931726155776.

The previous prime is 49116445757417. The next prime is 49116445757441. The reversal of 49116445757440 is 4475754461194.

It can be written as a sum of positive squares in 8 ways, for example, as 10607371554816 + 38509074202624 = 3256896^2 + 6205568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49116445757441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302224044 + ... + 302386516.

It is an arithmetic number, because the mean of its divisors is an integer number (587354289525).

Almost surely, 2^{49116445757440} is an apocalyptic number.

49116445757440 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 49116445757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61084846110600).

49116445757440 is an abundant number, since it is smaller than the sum of its proper divisors (73053246463760).

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

49116445757440 is a wasteful number, since it uses less digits than its factorization.

49116445757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163040 (or 163018 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 49116445757440 in words is "forty-nine trillion, one hundred sixteen billion, four hundred forty-five million, seven hundred fifty-seven thousand, four hundred forty".