49993144320 has 384 divisors, whose sum is σ = 185055736320. Its totient is φ = 11285299200.

The previous prime is 49993144297. The next prime is 49993144339. The reversal of 49993144320 is 2344139994.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49993144320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17846920 + ... + 17849720.

It is an arithmetic number, because the mean of its divisors is an integer number (481915980).

Almost surely, 2^49993144320 is an apocalyptic number.

49993144320 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 49993144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92527868160).

49993144320 is an abundant number, since it is smaller than the sum of its proper divisors (135062592000).

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

49993144320 is a wasteful number, since it uses less digits than its factorization.

49993144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 49993144320 in words is "forty-nine billion, nine hundred ninety-three million, one hundred forty-four thousand, three hundred twenty".