144531416440 has 128 divisors (see below), whose sum is σ = 338552524800. Its totient is φ = 55493222400.

The previous prime is 144531416429. The next prime is 144531416489. The reversal of 144531416440 is 44614135441.

It is a self number, because there is not a number n which added to its sum of digits gives 144531416440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30102040 + ... + 30106840.

It is an arithmetic number, because the mean of its divisors is an integer number (2644941600).

Almost surely, 2^144531416440 is an apocalyptic number.

144531416440 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 144531416440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169276262400).

144531416440 is an abundant number, since it is smaller than the sum of its proper divisors (194021108360).

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

144531416440 is a wasteful number, since it uses less digits than its factorization.

144531416440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 144531416440 in words is "one hundred forty-four billion, five hundred thirty-one million, four hundred sixteen thousand, four hundred forty".