144001724280 has 256 divisors, whose sum is σ = 462065472000. Its totient is φ = 35795976192.

The previous prime is 144001724263. The next prime is 144001724291. The reversal of 144001724280 is 82427100441.

It is a super-2 number, since 2×144001724280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98698191 + ... + 98699649.

It is an arithmetic number, because the mean of its divisors is an integer number (1804943250).

Almost surely, 2^144001724280 is an apocalyptic number.

144001724280 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 144001724280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231032736000).

144001724280 is an abundant number, since it is smaller than the sum of its proper divisors (318063747720).

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

144001724280 is a wasteful number, since it uses less digits than its factorization.

144001724280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 144001724280 in words is "one hundred forty-four billion, one million, seven hundred twenty-four thousand, two hundred eighty".