49381728400 has 135 divisors (see below), whose sum is σ = 122054206539. Its totient is φ = 19199808000.

The previous prime is 49381728379. The next prime is 49381728413. The reversal of 49381728400 is 482718394.

The square root of 49381728400 is 222220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20785565584 + 28596162816 = 144172^2 + 169104^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 182220265 + ... + 182220535.

Almost surely, 2^49381728400 is an apocalyptic number.

49381728400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49381728400 is the 222220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49381728400

49381728400 is an abundant number, since it is smaller than the sum of its proper divisors (72672478139).

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

49381728400 is an equidigital number, since it uses as much as digits as its factorization.

49381728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 49381728400 in words is "forty-nine billion, three hundred eighty-one million, seven hundred twenty-eight thousand, four hundred".