4454447972128 has 576 divisors, whose sum is σ = 11957264686080. Its totient is φ = 1610345318400.

The previous prime is 4454447972111. The next prime is 4454447972137. The reversal of 4454447972128 is 8212797444544.

It is a super-3 number, since 3×4454447972128³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8855761125 + ... + 8855761627.

It is an arithmetic number, because the mean of its divisors is an integer number (20759140080).

Almost surely, 2^{4454447972128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454447972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978632343040).

4454447972128 is an abundant number, since it is smaller than the sum of its proper divisors (7502816713952).

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

4454447972128 is a wasteful number, since it uses less digits than its factorization.

4454447972128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1046 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 61.

The spelling of 4454447972128 in words is "four trillion, four hundred fifty-four billion, four hundred forty-seven million, nine hundred seventy-two thousand, one hundred twenty-eight".