144450414440 has 96 divisors (see below), whose sum is σ = 336207267000. Its totient is φ = 55850895360.

The previous prime is 144450414439. The next prime is 144450414463. The reversal of 144450414440 is 44414054441.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2636411716 + 141814002724 = 51346^2 + 376582^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144450414440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7319306 + ... + 7339014.

Almost surely, 2^144450414440 is an apocalyptic number.

144450414440 is a gapful number since it is divisible by the number (10) 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 144450414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168103633500).

144450414440 is an abundant number, since it is smaller than the sum of its proper divisors (191756852560).

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

144450414440 is a wasteful number, since it uses less digits than its factorization.

144450414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19911 (or 19866 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 144450414440 its reverse (44414054441), we get a palindrome (188864468881).

The spelling of 144450414440 in words is "one hundred forty-four billion, four hundred fifty million, four hundred fourteen thousand, four hundred forty".