144096363440 has 160 divisors (see below), whose sum is σ = 355948217856. Its totient is φ = 54138839040.

The previous prime is 144096363427. The next prime is 144096363449. The reversal of 144096363440 is 44363690441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144096363391 and 144096363400.

It is not an unprimeable number, because it can be changed into a prime (144096363449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23377799 + ... + 23383961.

Almost surely, 2^144096363440 is an apocalyptic number.

144096363440 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 144096363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177974108928).

144096363440 is an abundant number, since it is smaller than the sum of its proper divisors (211851854416).

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

144096363440 is a wasteful number, since it uses less digits than its factorization.

144096363440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 144096363440 in words is "one hundred forty-four billion, ninety-six million, three hundred sixty-three thousand, four hundred forty".