4442528629812 has 576 divisors, whose sum is σ = 13387202035200. Its totient is φ = 1136185344000.

The previous prime is 4442528629807. The next prime is 4442528629817. The reversal of 4442528629812 is 2189268252444.

It is an interprime number because it is at equal distance from previous prime (4442528629807) and next prime (4442528629817).

It is a super-2 number, since 2×4442528629812² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442528629817) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11078624812 + ... + 11078625212.

It is an arithmetic number, because the mean of its divisors is an integer number (23241670200).

Almost surely, 2^{4442528629812} is an apocalyptic number.

4442528629812 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 4442528629812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693601017600).

4442528629812 is an abundant number, since it is smaller than the sum of its proper divisors (8944673405388).

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

4442528629812 is a wasteful number, since it uses less digits than its factorization.

4442528629812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 783 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 57.

The spelling of 4442528629812 in words is "four trillion, four hundred forty-two billion, five hundred twenty-eight million, six hundred twenty-nine thousand, eight hundred twelve".