4447121547960 has 1536 divisors, whose sum is σ = 19697010278400. Its totient is φ = 876154890240.

The previous prime is 4447121547937. The next prime is 4447121547961. The reversal of 4447121547960 is 697451217444.

It is a happy number.

4447121547960 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 1 + 2 + 1 + 547 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4447121547897 and 4447121547906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4447121547961) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1193215617 + ... + 1193219343.

It is an arithmetic number, because the mean of its divisors is an integer number (12823574400).

Almost surely, 2^{4447121547960} is an apocalyptic number.

4447121547960 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 4447121547960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9848505139200).

4447121547960 is an abundant number, since it is smaller than the sum of its proper divisors (15249888730440).

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

4447121547960 is a wasteful number, since it uses less digits than its factorization.

4447121547960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4447121547960 in words is "four trillion, four hundred forty-seven billion, one hundred twenty-one million, five hundred forty-seven thousand, nine hundred sixty".