440612240000 has 160 divisors (see below), whose sum is σ = 1123638086340. Its totient is φ = 171944960000.

The previous prime is 440612239961. The next prime is 440612240021. The reversal of 440612240000 is 42216044.

It can be written as a sum of positive squares in 10 ways, for example, as 101618138176 + 338994101824 = 318776^2 + 582232^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3212834 + ... + 3347166.

Almost surely, 2^440612240000 is an apocalyptic number.

440612240000 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 440612240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561819043170).

440612240000 is an abundant number, since it is smaller than the sum of its proper divisors (683025846340).

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

440612240000 is an equidigital number, since it uses as much as digits as its factorization.

440612240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134408 (or 134381 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 440612240000 its reverse (42216044), we get a palindrome (440654456044).

The spelling of 440612240000 in words is "four hundred forty billion, six hundred twelve million, two hundred forty thousand".