47412449280 has 624 divisors, whose sum is σ = 194920113024. Its totient is φ = 10829168640.

The previous prime is 47412449263. The next prime is 47412449281. The reversal of 47412449280 is 8294421474.

47412449280 is a `hidden beast` number, since 4 + 74 + 12 + 4 + 492 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47412449281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34835800 + ... + 34837160.

It is an arithmetic number, because the mean of its divisors is an integer number (312371976).

Almost surely, 2^47412449280 is an apocalyptic number.

47412449280 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 47412449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97460056512).

47412449280 is an abundant number, since it is smaller than the sum of its proper divisors (147507663744).

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

47412449280 is an equidigital number, since it uses as much as digits as its factorization.

47412449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 47412449280 in words is "forty-seven billion, four hundred twelve million, four hundred forty-nine thousand, two hundred eighty".