144644500440 has 256 divisors, whose sum is σ = 526948416000. Its totient is φ = 35000778240.

The previous prime is 144644500421. The next prime is 144644500457. The reversal of 144644500440 is 44005446441.

144644500440 is a `hidden beast` number, since 1 + 4 + 4 + 644 + 5 + 0 + 0 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144644500395 and 144644500404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6606231 + ... + 6628089.

It is an arithmetic number, because the mean of its divisors is an integer number (2058392250).

Almost surely, 2^144644500440 is an apocalyptic number.

144644500440 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 144644500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263474208000).

144644500440 is an abundant number, since it is smaller than the sum of its proper divisors (382303915560).

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

144644500440 is a wasteful number, since it uses less digits than its factorization.

144644500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22447 (or 22437 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 144644500440 its reverse (44005446441), we get a palindrome (188649946881).

The spelling of 144644500440 in words is "one hundred forty-four billion, six hundred forty-four million, five hundred thousand, four hundred forty".