49983888240 has 1600 divisors, whose sum is σ = 228675363840. Its totient is φ = 9913466880.

The previous prime is 49983888233. The next prime is 49983888271. The reversal of 49983888240 is 4288838994.

49983888240 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 388 + 8 + 240 = 666.

49983888240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 299304637 + ... + 299304803.

Almost surely, 2^49983888240 is an apocalyptic number.

49983888240 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 49983888240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114337681920).

49983888240 is an abundant number, since it is smaller than the sum of its proper divisors (178691475600).

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

49983888240 is a wasteful number, since it uses less digits than its factorization.

49983888240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 49983888240 in words is "forty-nine billion, nine hundred eighty-three million, eight hundred eighty-eight thousand, two hundred forty".