44414212144032 has 144 divisors (see below), whose sum is σ = 126498553501320. Its totient is φ = 14781815193600.

The previous prime is 44414212144019. The next prime is 44414212144067. The reversal of 44414212144032 is 23044121241444.

44414212144032 is a `hidden beast` number, since 4 + 4 + 4 + 14 + 21 + 214 + 403 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29288055480336 + 15126156663696 = 5411844^2 + 3889236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979105032 + ... + 979150392.

Almost surely, 2^{44414212144032} 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 44414212144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249276750660).

44414212144032 is an abundant number, since it is smaller than the sum of its proper divisors (82084341357288).

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

44414212144032 is a wasteful number, since it uses less digits than its factorization.

44414212144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50567 (or 50556 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 44414212144032 its reverse (23044121241444), we get a palindrome (67458333385476).

The spelling of 44414212144032 in words is "forty-four trillion, four hundred fourteen billion, two hundred twelve million, one hundred forty-four thousand, thirty-two".