47397025382400 has 576 divisors, whose sum is σ = 175639502855700. Its totient is φ = 12203317002240.

The previous prime is 47397025382383. The next prime is 47397025382479. The reversal of 47397025382400 is 428352079374.

It is a happy number.

47397025382400 is a `hidden beast` number, since 4 + 7 + 39 + 70 + 2 + 538 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16167347306496 + 31229678075904 = 4020864^2 + 5588352^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213700362 + ... + 213922038.

Almost surely, 2^{47397025382400} is an apocalyptic number.

47397025382400 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 47397025382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87819751427850).

47397025382400 is an abundant number, since it is smaller than the sum of its proper divisors (128242477473300).

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

47397025382400 is a wasteful number, since it uses less digits than its factorization.

47397025382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221752 (or 221716 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 47397025382400 in words is "forty-seven trillion, three hundred ninety-seven billion, twenty-five million, three hundred eighty-two thousand, four hundred".