4442147536896 has 1200 divisors, whose sum is σ = 15198215376960. Its totient is φ = 1284211998720.

The previous prime is 4442147536847. The next prime is 4442147536901. The reversal of 4442147536896 is 6986357412444.

4442147536896 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 1 + 4 + 7 + 536 + 8 + 96 = 666.

Its product of digits (139345920) is a multiple of the sum of its prime factors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18432147336 + ... + 18432147576.

Almost surely, 2^{4442147536896} 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 4442147536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599107688480).

4442147536896 is an abundant number, since it is smaller than the sum of its proper divisors (10756067840064).

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

4442147536896 is a wasteful number, since it uses less digits than its factorization.

4442147536896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 325 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 4442147536896 in words is "four trillion, four hundred forty-two billion, one hundred forty-seven million, five hundred thirty-six thousand, eight hundred ninety-six".