49995338400 has 720 divisors, whose sum is σ = 219374084160. Its totient is φ = 10824192000.

The previous prime is 49995338383. The next prime is 49995338447. The reversal of 49995338400 is 483359994.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8615500 + ... + 8621300.

It is an arithmetic number, because the mean of its divisors is an integer number (304686228).

Almost surely, 2^49995338400 is an apocalyptic number.

49995338400 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 49995338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109687042080).

49995338400 is an abundant number, since it is smaller than the sum of its proper divisors (169378745760).

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

49995338400 is a wasteful number, since it uses less digits than its factorization.

49995338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 49995338400 in words is "forty-nine billion, nine hundred ninety-five million, three hundred thirty-eight thousand, four hundred".