47211978240 has 1440 divisors, whose sum is σ = 209583728640. Its totient is φ = 9754214400.

The previous prime is 47211978199. The next prime is 47211978251. The reversal of 47211978240 is 4287911274.

47211978240 is a `hidden beast` number, since 472 + 11 + 97 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 664957405 + ... + 664957475.

It is an arithmetic number, because the mean of its divisors is an integer number (145544256).

Almost surely, 2^47211978240 is an apocalyptic number.

47211978240 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 47211978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104791864320).

47211978240 is an abundant number, since it is smaller than the sum of its proper divisors (162371750400).

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

47211978240 is a wasteful number, since it uses less digits than its factorization.

47211978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 47211978240 in words is "forty-seven billion, two hundred eleven million, nine hundred seventy-eight thousand, two hundred forty".