49885824240 has 640 divisors, whose sum is σ = 210506526720. Its totient is φ = 10609201152.

The previous prime is 49885824227. The next prime is 49885824257. The reversal of 49885824240 is 4242858894.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 12865182 + ... + 12869058.

It is an arithmetic number, because the mean of its divisors is an integer number (328916448).

Almost surely, 2^49885824240 is an apocalyptic number.

49885824240 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 49885824240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105253263360).

49885824240 is an abundant number, since it is smaller than the sum of its proper divisors (160620702480).

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

49885824240 is a wasteful number, since it uses less digits than its factorization.

49885824240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 49885824240 in words is "forty-nine billion, eight hundred eighty-five million, eight hundred twenty-four thousand, two hundred forty".