4412202022144 has 144 divisors (see below), whose sum is σ = 10505281570560. Its totient is φ = 1808328867840.

The previous prime is 4412202022127. The next prime is 4412202022169.

It is a happy number.

4412202022144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 250955434 + ... + 250973014.

It is an arithmetic number, because the mean of its divisors is an integer number (72953344240).

Almost surely, 2^{4412202022144} 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 4412202022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252640785280).

4412202022144 is an abundant number, since it is smaller than the sum of its proper divisors (6093079548416).

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

4412202022144 is a wasteful number, since it uses less digits than its factorization.

4412202022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23716 (or 23702 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 4412202022144 in words is "four trillion, four hundred twelve billion, two hundred two million, twenty-two thousand, one hundred forty-four".