49065766813440 has 1152 divisors, whose sum is σ = 200435328092160. Its totient is φ = 11270740377600.

The previous prime is 49065766813351. The next prime is 49065766813447. The reversal of 49065766813440 is 4431866756094.

49065766813440 is a `hidden beast` number, since 4 + 9 + 0 + 6 + 57 + 66 + 81 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49065766813447) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 423613135 + ... + 423728945.

It is an arithmetic number, because the mean of its divisors is an integer number (173989000080).

Almost surely, 2^{49065766813440} is an apocalyptic number.

49065766813440 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 49065766813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100217664046080).

49065766813440 is an abundant number, since it is smaller than the sum of its proper divisors (151369561278720).

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

49065766813440 is a wasteful number, since it uses less digits than its factorization.

49065766813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115918 (or 115898 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 49065766813440 in words is "forty-nine trillion, sixty-five billion, seven hundred sixty-six million, eight hundred thirteen thousand, four hundred forty".