49838566400 has 396 divisors, whose sum is σ = 146099843208. Its totient is φ = 16804085760.

The previous prime is 49838566357. The next prime is 49838566403. The reversal of 49838566400 is 466583894.

It is not an unprimeable number, because it can be changed into a prime (49838566403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84044504 + ... + 84045096.

It is an arithmetic number, because the mean of its divisors is an integer number (368938998).

Almost surely, 2^49838566400 is an apocalyptic number.

49838566400 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 49838566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73049921604).

49838566400 is an abundant number, since it is smaller than the sum of its proper divisors (96261276808).

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

49838566400 is a wasteful number, since it uses less digits than its factorization.

49838566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 49838566400 in words is "forty-nine billion, eight hundred thirty-eight million, five hundred sixty-six thousand, four hundred".