144040331440 has 80 divisors (see below), whose sum is σ = 339095484000. Its totient is φ = 56893945856.

The previous prime is 144040331437. The next prime is 144040331443. The reversal of 144040331440 is 44133040441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144040331437) and next prime (144040331443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144040331399 and 144040331408.

It is not an unprimeable number, because it can be changed into a prime (144040331443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18116586 + ... + 18124534.

It is an arithmetic number, because the mean of its divisors is an integer number (4238693550).

Almost surely, 2^144040331440 is an apocalyptic number.

144040331440 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 144040331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169547742000).

144040331440 is an abundant number, since it is smaller than the sum of its proper divisors (195055152560).

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

144040331440 is a wasteful number, since it uses less digits than its factorization.

144040331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10768 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144040331440 its reverse (44133040441), we get a palindrome (188173371881).

The spelling of 144040331440 in words is "one hundred forty-four billion, forty million, three hundred thirty-one thousand, four hundred forty".