4404202234016 has 96 divisors (see below), whose sum is σ = 9887983353360. Its totient is φ = 1912954208256.

The previous prime is 4404202233971. The next prime is 4404202234021. The reversal of 4404202234016 is 6104322024044.

It can be written as a sum of positive squares in 8 ways, for example, as 3501314592400 + 902887641616 = 1871180^2 + 950204^2 .

It is a super-4 number, since 4×4404202234016⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95229650 + ... + 95275886.

Almost surely, 2^{4404202234016} 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 4404202234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943991676680).

4404202234016 is an abundant number, since it is smaller than the sum of its proper divisors (5483781119344).

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

4404202234016 is a wasteful number, since it uses less digits than its factorization.

4404202234016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59746 (or 59738 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 4404202234016 in words is "four trillion, four hundred four billion, two hundred two million, two hundred thirty-four thousand, sixteen".