44138640 has 320 divisors, whose sum is σ = 175988736. Its totient is φ = 8902656.

The previous prime is 44138639. The next prime is 44138671. The reversal of 44138640 is 4683144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44138598 and 44138607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 939097 + ... + 939143.

Almost surely, 2^44138640 is an apocalyptic number.

44138640 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 44138640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87994368).

44138640 is an abundant number, since it is smaller than the sum of its proper divisors (131850096).

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

44138640 is a wasteful number, since it uses less digits than its factorization.

44138640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 44138640 is about 6643.6917448057. The cubic root of 44138640 is about 353.4052383228.

The spelling of 44138640 in words is "forty-four million, one hundred thirty-eight thousand, six hundred forty".