49993848438240 has 1536 divisors, whose sum is σ = 196616396390400. Its totient is φ = 10425861734400.

The previous prime is 49993848438217. The next prime is 49993848438251. The reversal of 49993848438240 is 4283484839994.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47567885715 + ... + 47567886765.

It is an arithmetic number, because the mean of its divisors is an integer number (128005466400).

Almost surely, 2^{49993848438240} is an apocalyptic number.

49993848438240 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 49993848438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98308198195200).

49993848438240 is an abundant number, since it is smaller than the sum of its proper divisors (146622547952160).

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

49993848438240 is a wasteful number, since it uses less digits than its factorization.

49993848438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 75.

The spelling of 49993848438240 in words is "forty-nine trillion, nine hundred ninety-three billion, eight hundred forty-eight million, four hundred thirty-eight thousand, two hundred forty".