49037414549760 has 3456 divisors, whose sum is σ = 223652857881600. Its totient is φ = 10081956003840.

The previous prime is 49037414549759. The next prime is 49037414549777. The reversal of 49037414549760 is 6794541473094.

49037414549760 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 7 + 4 + 14 + 549 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 214137181326 + ... + 214137181554.

It is an arithmetic number, because the mean of its divisors is an integer number (64714368600).

Almost surely, 2^{49037414549760} is an apocalyptic number.

49037414549760 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 49037414549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111826428940800).

49037414549760 is an abundant number, since it is smaller than the sum of its proper divisors (174615443331840).

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

49037414549760 is a wasteful number, since it uses less digits than its factorization.

49037414549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 49037414549760 in words is "forty-nine trillion, thirty-seven billion, four hundred fourteen million, five hundred forty-nine thousand, seven hundred sixty".