44272293120 has 540 divisors, whose sum is σ = 174174217140. Its totient is φ = 10729635840.

The previous prime is 44272293119. The next prime is 44272293127. The reversal of 44272293120 is 2139227244.

It is a happy number.

44272293120 is a `hidden beast` number, since 4 + 427 + 22 + 93 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9336197376 + 34936095744 = 96624^2 + 186912^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 (44272293127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12543516 + ... + 12547044.

Almost surely, 2^44272293120 is an apocalyptic number.

44272293120 is a gapful number since it is divisible by the number (40) 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 44272293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87087108570).

44272293120 is an abundant number, since it is smaller than the sum of its proper divisors (129901924020).

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

44272293120 is a wasteful number, since it uses less digits than its factorization.

44272293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 44272293120 in words is "forty-four billion, two hundred seventy-two million, two hundred ninety-three thousand, one hundred twenty".