47467323217440 has 288 divisors, whose sum is σ = 185272263671040. Its totient is φ = 10840900073472.

The previous prime is 47467323217427. The next prime is 47467323217451. The reversal of 47467323217440 is 4471232376474.

47467323217440 is a `hidden beast` number, since 4 + 7 + 4 + 67 + 323 + 217 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10565541 + ... + 14372379.

It is an arithmetic number, because the mean of its divisors is an integer number (643306471080).

Almost surely, 2^{47467323217440} is an apocalyptic number.

47467323217440 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 47467323217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92636131835520).

47467323217440 is an abundant number, since it is smaller than the sum of its proper divisors (137804940453600).

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

47467323217440 is a wasteful number, since it uses less digits than its factorization.

47467323217440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808104 (or 3808093 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 47467323217440 in words is "forty-seven trillion, four hundred sixty-seven billion, three hundred twenty-three million, two hundred seventeen thousand, four hundred forty".