49924399118400 has 945 divisors, whose sum is σ = 193863936771351. Its totient is φ = 12600270213120.

The previous prime is 49924399118387. The next prime is 49924399118423. The reversal of 49924399118400 is 481199342994.

The square root of 49924399118400 is 7065720.

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

49924399118400 is a `hidden beast` number, since 4 + 9 + 9 + 24 + 3 + 99 + 118 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9702826284096 + 40221572834304 = 3114936^2 + 6342048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48329524284 + ... + 48329525316.

Almost surely, 2^{49924399118400} is an apocalyptic number.

49924399118400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49924399118400 is the 7065720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49924399118400

49924399118400 is an abundant number, since it is smaller than the sum of its proper divisors (143939537652951).

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

49924399118400 is an equidigital number, since it uses as much as digits as its factorization.

49924399118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 49924399118400 in words is "forty-nine trillion, nine hundred twenty-four billion, three hundred ninety-nine million, one hundred eighteen thousand, four hundred".