49601983242240 has 1344 divisors, whose sum is σ = 212639051439360. Its totient is φ = 10515335086080.

The previous prime is 49601983242233. The next prime is 49601983242299. The reversal of 49601983242240 is 4224238910694.

49601983242240 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 1 + 98 + 324 + 224 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1001570119 + ... + 1001619641.

It is an arithmetic number, because the mean of its divisors is an integer number (158213579940).

Almost surely, 2^{49601983242240} is an apocalyptic number.

49601983242240 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 49601983242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106319525719680).

49601983242240 is an abundant number, since it is smaller than the sum of its proper divisors (163037068197120).

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

49601983242240 is a wasteful number, since it uses less digits than its factorization.

49601983242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49603 (or 49576 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49601983242240 in words is "forty-nine trillion, six hundred one billion, nine hundred eighty-three million, two hundred forty-two thousand, two hundred forty".