440020412040 has 192 divisors, whose sum is σ = 1488023369280. Its totient is φ = 103230297600.

The previous prime is 440020411981. The next prime is 440020412057. The reversal of 440020412040 is 40214020044.

It is a junction number, because it is equal to n+sod(n) for n = 440020411998 and 440020412016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095082 + ... + 1441958.

It is an arithmetic number, because the mean of its divisors is an integer number (7750121715).

Almost surely, 2^440020412040 is an apocalyptic number.

440020412040 is a gapful number since it is divisible by the number (40) 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 440020412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744011684640).

440020412040 is an abundant number, since it is smaller than the sum of its proper divisors (1048002957240).

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

440020412040 is a wasteful number, since it uses less digits than its factorization.

440020412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346964 (or 346929 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 440020412040 its reverse (40214020044), we get a palindrome (480234432084).

The spelling of 440020412040 in words is "four hundred forty billion, twenty million, four hundred twelve thousand, forty".