144144001624560 has 640 divisors, whose sum is σ = 535730996736000. Its totient is φ = 31363440869376.

The previous prime is 144144001624559. The next prime is 144144001624561. The reversal of 144144001624560 is 65426100441441.

It is an interprime number because it is at equal distance from previous prime (144144001624559) and next prime (144144001624561).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144144001624561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12053175861 + ... + 12053187819.

It is an arithmetic number, because the mean of its divisors is an integer number (837079682400).

Almost surely, 2^{144144001624560} is an apocalyptic number.

144144001624560 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 144144001624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267865498368000).

144144001624560 is an abundant number, since it is smaller than the sum of its proper divisors (391586995111440).

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

144144001624560 is a wasteful number, since it uses less digits than its factorization.

144144001624560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15473 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 144144001624560 in words is "one hundred forty-four trillion, one hundred forty-four billion, one million, six hundred twenty-four thousand, five hundred sixty".