40407444 has 192 divisors, whose sum is σ = 134830080. Its totient is φ = 10160640.

The previous prime is 40407421. The next prime is 40407461. The reversal of 40407444 is 44470404.

It is a happy number.

It is a super-2 number, since 2×40407444² = 3265523061226272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357532 + ... + 357644.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 2^40407444 is an apocalyptic number.

40407444 is a gapful number since it is divisible by the number (44) 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 40407444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415040).

40407444 is an abundant number, since it is smaller than the sum of its proper divisors (94422636).

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

40407444 is a wasteful number, since it uses less digits than its factorization.

40407444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 40407444 is about 6356.6849851161. The cubic root of 40407444 is about 343.1524678659.

Adding to 40407444 its reverse (44470404), we get a palindrome (84877848).

The spelling of 40407444 in words is "forty million, four hundred seven thousand, four hundred forty-four".