144361312640 has 128 divisors (see below), whose sum is σ = 365842461600. Its totient is φ = 54284156928.

The previous prime is 144361312621. The next prime is 144361312679. The reversal of 144361312640 is 46213163441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 144361312640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9860846 + ... + 9875474.

Almost surely, 2^144361312640 is an apocalyptic number.

144361312640 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 144361312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182921230800).

144361312640 is an abundant number, since it is smaller than the sum of its proper divisors (221481148960).

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

144361312640 is a wasteful number, since it uses less digits than its factorization.

144361312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 15560 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 144361312640 in words is "one hundred forty-four billion, three hundred sixty-one million, three hundred twelve thousand, six hundred forty".