440042034012400 has 60 divisors (see below), whose sum is σ = 1057221220732200. Its totient is φ = 176013444778240.

The previous prime is 440042034012389. The next prime is 440042034012419. The reversal of 440042034012400 is 4210430240044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10450206 + ... + 31452994.

It is an arithmetic number, because the mean of its divisors is an integer number (17620353678870).

Almost surely, 2^{440042034012400} is an apocalyptic number.

440042034012400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440042034012400 is an abundant number, since it is smaller than the sum of its proper divisors (617179186719800).

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

440042034012400 is a wasteful number, since it uses less digits than its factorization.

440042034012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21055186 (or 21055175 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 440042034012400 its reverse (4210430240044), we get a palindrome (444252464252444).

The spelling of 440042034012400 in words is "four hundred forty trillion, forty-two billion, thirty-four million, twelve thousand, four hundred".