47441722658400 has 864 divisors, whose sum is σ = 200608154318880. Its totient is φ = 10788730122240.

The previous prime is 47441722658371. The next prime is 47441722658417. The reversal of 47441722658400 is 485622714474.

47441722658400 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 1 + 7 + 226 + 5 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×47441722658400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208391034 + ... + 208618566.

It is an arithmetic number, because the mean of its divisors is an integer number (232185363795).

Almost surely, 2^{47441722658400} is an apocalyptic number.

47441722658400 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 47441722658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100304077159440).

47441722658400 is an abundant number, since it is smaller than the sum of its proper divisors (153166431660480).

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

47441722658400 is a wasteful number, since it uses less digits than its factorization.

47441722658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227773 (or 227747 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 47441722658400 in words is "forty-seven trillion, four hundred forty-one billion, seven hundred twenty-two million, six hundred fifty-eight thousand, four hundred".