47419417600 has 99 divisors (see below), whose sum is σ = 117629162131. Its totient is φ = 18953830400.

The previous prime is 47419417559. The next prime is 47419417603. The reversal of 47419417600 is 671491474.

The square root of 47419417600 is 217760.

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 10996458496 + 36422959104 = 104864^2 + 190848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47419417603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34840920 + ... + 34842280.

Almost surely, 2^47419417600 is an apocalyptic number.

47419417600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47419417600 is the 217760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47419417600

47419417600 is an abundant number, since it is smaller than the sum of its proper divisors (70209744531).

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

47419417600 is an frugal number, since it uses more digits than its factorization.

47419417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 47419417600 in words is "forty-seven billion, four hundred nineteen million, four hundred seventeen thousand, six hundred".