44134410240 has 288 divisors, whose sum is σ = 154570164840. Its totient is φ = 11645485056.

The previous prime is 44134410233. The next prime is 44134410251. The reversal of 44134410240 is 4201443144.

44134410240 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 4 + 410 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33164780544 + 10969629696 = 182112^2 + 104736^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8937052 + ... + 8941988.

Almost surely, 2^44134410240 is an apocalyptic number.

44134410240 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 44134410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77285082420).

44134410240 is an abundant number, since it is smaller than the sum of its proper divisors (110435754600).

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

44134410240 is a wasteful number, since it uses less digits than its factorization.

44134410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44134410240 its reverse (4201443144), we get a palindrome (48335853384).

It can be divided in two parts, 441344 and 10240, that added together give a square (451584 = 672²).

The spelling of 44134410240 in words is "forty-four billion, one hundred thirty-four million, four hundred ten thousand, two hundred forty".