44122354272 has 144 divisors (see below), whose sum is σ = 126339175872. Its totient is φ = 14606304000.

The previous prime is 44122354271. The next prime is 44122354273. The reversal of 44122354272 is 27245322144.

44122354272 is a `hidden beast` number, since 4 + 4 + 1 + 223 + 5 + 427 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (44122354271) and next prime (44122354273).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44122354271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33757843 + ... + 33759149.

It is an arithmetic number, because the mean of its divisors is an integer number (877355388).

Almost surely, 2^44122354272 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 44122354272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63169587936).

44122354272 is an abundant number, since it is smaller than the sum of its proper divisors (82216821600).

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

44122354272 is a wasteful number, since it uses less digits than its factorization.

44122354272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2030 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The spelling of 44122354272 in words is "forty-four billion, one hundred twenty-two million, three hundred fifty-four thousand, two hundred seventy-two".