440416444431 has 16 divisors (see below), whose sum is σ = 595213808000. Its totient is φ = 289641931488.

The previous prime is 440416444417. The next prime is 440416444477. The reversal of 440416444431 is 134444614044.

It is not a de Polignac number, because 440416444431 - 2⁶ = 440416444367 is a prime.

It is a super-2 number, since 2×440416444431² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 440416444431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440416444631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3298081 + ... + 3429018.

It is an arithmetic number, because the mean of its divisors is an integer number (37200863000).

Almost surely, 2^440416444431 is an apocalyptic number.

440416444431 is a deficient number, since it is larger than the sum of its proper divisors (154797363569).

440416444431 is a wasteful number, since it uses less digits than its factorization.

440416444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727398.

The product of its (nonzero) digits is 294912, while the sum is 39.

The spelling of 440416444431 in words is "four hundred forty billion, four hundred sixteen million, four hundred forty-four thousand, four hundred thirty-one".