44135040 has 128 divisors (see below), whose sum is σ = 142571520. Its totient is φ = 11612160.

The previous prime is 44135033. The next prime is 44135051. The reversal of 44135040 is 4053144.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 44134998 and 44135016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243750 + ... + 243930.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^44135040 is an apocalyptic number.

44135040 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 44135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71285760).

44135040 is an abundant number, since it is smaller than the sum of its proper divisors (98436480).

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

44135040 is a wasteful number, since it uses less digits than its factorization.

44135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 44135040 is about 6643.4208055790. The cubic root of 44135040 is about 353.3956300110.

Adding to 44135040 its reverse (4053144), we get a palindrome (48188184).

It can be divided in two parts, 4413 and 5040, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 44135040 in words is "forty-four million, one hundred thirty-five thousand, forty".