44140160 has 64 divisors (see below), whose sum is σ = 111757320. Its totient is φ = 16613376.

The previous prime is 44140139. The next prime is 44140163. The reversal of 44140160 is 6104144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40043584 + 4096576 = 6328^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (44140163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8852 + ... + 12908.

Almost surely, 2^44140160 is an apocalyptic number.

44140160 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 44140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55878660).

44140160 is an abundant number, since it is smaller than the sum of its proper divisors (67617160).

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

44140160 is a wasteful number, since it uses less digits than its factorization.

44140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 44140160 is about 6643.8061380507. The cubic root of 44140160 is about 353.4092950087.

The spelling of 44140160 in words is "forty-four million, one hundred forty thousand, one hundred sixty".