440432431140 has 576 divisors, whose sum is σ = 1415665278720. Its totient is φ = 102148300800.

The previous prime is 440432431027. The next prime is 440432431141. The reversal of 440432431140 is 41134234044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 440432431098 and 440432431107.

It is not an unprimeable number, because it can be changed into a prime (440432431141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2235697522 + ... + 2235697718.

It is an arithmetic number, because the mean of its divisors is an integer number (2457752220).

Almost surely, 2^440432431140 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 440432431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707832639360).

440432431140 is an abundant number, since it is smaller than the sum of its proper divisors (975232847580).

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

440432431140 is a wasteful number, since it uses less digits than its factorization.

440432431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 440432431140 its reverse (41134234044), we get a palindrome (481566665184).

The spelling of 440432431140 in words is "four hundred forty billion, four hundred thirty-two million, four hundred thirty-one thousand, one hundred forty".