44431230240 has 192 divisors, whose sum is σ = 157113976320. Its totient is φ = 11726069760.

The previous prime is 44431230227. The next prime is 44431230341. The reversal of 44431230240 is 4203213444.

It is a happy number.

44431230240 is a `hidden beast` number, since 4 + 4 + 4 + 312 + 302 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366025 + ... + 472055.

It is an arithmetic number, because the mean of its divisors is an integer number (818301960).

Almost surely, 2^44431230240 is an apocalyptic number.

44431230240 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 44431230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78556988160).

44431230240 is an abundant number, since it is smaller than the sum of its proper divisors (112682746080).

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

44431230240 is a wasteful number, since it uses less digits than its factorization.

44431230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106152 (or 106138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44431230240 its reverse (4203213444), we get a palindrome (48634443684).

It can be divided in two parts, 444312 and 30240, that added together give a cube (474552 = 78³).

The spelling of 44431230240 in words is "forty-four billion, four hundred thirty-one million, two hundred thirty thousand, two hundred forty".