44129840 has 40 divisors (see below), whose sum is σ = 104295408. Its totient is φ = 17360640.

The previous prime is 44129831. The next prime is 44129843. The reversal of 44129840 is 4892144.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 44129797 and 44129806.

It is not an unprimeable number, because it can be changed into a prime (44129843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359 + ... + 9401.

Almost surely, 2^44129840 is an apocalyptic number.

44129840 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 44129840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52147704).

44129840 is an abundant number, since it is smaller than the sum of its proper divisors (60165568).

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

44129840 is a wasteful number, since it uses less digits than its factorization.

44129840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 44129840 is about 6643.0294294094. The cubic root of 44129840 is about 353.3817504159.

Subtracting from 44129840 its reverse (4892144), we obtain a square (39237696 = 6264²).

The spelling of 44129840 in words is "forty-four million, one hundred twenty-nine thousand, eight hundred forty".