49185991895040 has 6912 divisors, whose sum is σ = 251390490624000. Its totient is φ = 9129944678400.

The previous prime is 49185991895017. The next prime is 49185991895069. The reversal of 49185991895040 is 4059819958194.

It is a happy number.

49185991895040 is a `hidden beast` number, since 4 + 9 + 18 + 5 + 99 + 18 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49185991895040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1586644899825 + ... + 1586644899855.

It is an arithmetic number, because the mean of its divisors is an integer number (36370152000).

Almost surely, 2^{49185991895040} is an apocalyptic number.

49185991895040 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 49185991895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125695245312000).

49185991895040 is an abundant number, since it is smaller than the sum of its proper divisors (202204498728960).

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

49185991895040 is a wasteful number, since it uses less digits than its factorization.

49185991895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 49185991895040 in words is "forty-nine trillion, one hundred eighty-five billion, nine hundred ninety-one million, eight hundred ninety-five thousand, forty".