4432956827712 has 896 divisors, whose sum is σ = 15320954880000. Its totient is φ = 1123685498880.

The previous prime is 4432956827683. The next prime is 4432956827713. The reversal of 4432956827712 is 2177286592344.

It is a super-2 number, since 2×4432956827712² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4432956827713) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5764572864 + ... + 5764573632.

It is an arithmetic number, because the mean of its divisors is an integer number (17099280000).

Almost surely, 2^{4432956827712} is an apocalyptic number.

4432956827712 is a gapful number since it is divisible by the number (42) 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 4432956827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660477440000).

4432956827712 is an abundant number, since it is smaller than the sum of its proper divisors (10887998052288).

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

4432956827712 is a wasteful number, since it uses less digits than its factorization.

4432956827712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1088 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 4432956827712 in words is "four trillion, four hundred thirty-two billion, nine hundred fifty-six million, eight hundred twenty-seven thousand, seven hundred twelve".