49842082563840 has 1728 divisors, whose sum is σ = 217375762007040. Its totient is φ = 10680745328640.

The previous prime is 49842082563797. The next prime is 49842082563857. The reversal of 49842082563840 is 4836528024894.

49842082563840 is a `hidden beast` number, since 4 + 9 + 8 + 4 + 20 + 8 + 2 + 563 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4012720830 + ... + 4012733250.

Almost surely, 2^{49842082563840} is an apocalyptic number.

49842082563840 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 49842082563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108687881003520).

49842082563840 is an abundant number, since it is smaller than the sum of its proper divisors (167533679443200).

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

49842082563840 is a wasteful number, since it uses less digits than its factorization.

49842082563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12580 (or 12554 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 49842082563840 in words is "forty-nine trillion, eight hundred forty-two billion, eighty-two million, five hundred sixty-three thousand, eight hundred forty".