40444080 has 80 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 10531584.

The previous prime is 40444031. The next prime is 40444091. The reversal of 40444080 is 8044404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40444080.

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, 8361 + ... + 12279.

It is an arithmetic number, because the mean of its divisors is an integer number (1604064).

Almost surely, 2^40444080 is an apocalyptic number.

40444080 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 40444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

40444080 is an abundant number, since it is smaller than the sum of its proper divisors (87881040).

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

40444080 is a wasteful number, since it uses less digits than its factorization.

40444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 40444080 is about 6359.5660229296. The cubic root of 40444080 is about 343.2561446065.

Adding to 40444080 its reverse (8044404), we get a palindrome (48488484).

The spelling of 40444080 in words is "forty million, four hundred forty-four thousand, eighty".