440142414100 has 144 divisors (see below), whose sum is σ = 1006335590400. Its totient is φ = 166768398720.

The previous prime is 440142414083. The next prime is 440142414133. The reversal of 440142414100 is 1414241044.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215860881 + ... + 215862919.

It is an arithmetic number, because the mean of its divisors is an integer number (6988441600).

Almost surely, 2^440142414100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440142414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503167795200).

440142414100 is an abundant number, since it is smaller than the sum of its proper divisors (566193176300).

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

440142414100 is a wasteful number, since it uses less digits than its factorization.

440142414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 440142414100 its reverse (1414241044), we get a palindrome (441556655144).

The spelling of 440142414100 in words is "four hundred forty billion, one hundred forty-two million, four hundred fourteen thousand, one hundred".