440521000000 has 196 divisors, whose sum is σ = 1157004799524. Its totient is φ = 165836800000.

The previous prime is 440520999923. The next prime is 440521000013. The reversal of 440521000000 is 125044.

It can be written as a sum of positive squares in 14 ways, for example, as 419396121664 + 21124878336 = 647608^2 + 145344^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16987044 + ... + 17012956.

Almost surely, 2^440521000000 is an apocalyptic number.

440521000000 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 440521000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578502399762).

440521000000 is an abundant number, since it is smaller than the sum of its proper divisors (716483799524).

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

440521000000 is an frugal number, since it uses more digits than its factorization.

440521000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25972 (or 25937 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 440521000000 its reverse (125044), we get a palindrome (440521125044).

The spelling of 440521000000 in words is "four hundred forty billion, five hundred twenty-one million", and thus it is an aban number.