40444404 has 216 divisors, whose sum is σ = 133183008. Its totient is φ = 9434880.

The previous prime is 40444399. The next prime is 40444421.

40444404 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093074 + ... + 1093110.

It is an arithmetic number, because the mean of its divisors is an integer number (616588).

Almost surely, 2^40444404 is an apocalyptic number.

40444404 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 40444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66591504).

40444404 is an abundant number, since it is smaller than the sum of its proper divisors (92738604).

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

40444404 is a wasteful number, since it uses less digits than its factorization.

40444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 40444404 is about 6359.5914963148. The cubic root of 40444404 is about 343.2570612194.

It can be divided in two parts, 4044 and 4404, that added together give a palindrome (8448).

The spelling of 40444404 in words is "forty million, four hundred forty-four thousand, four hundred four".