144220087440 has 320 divisors, whose sum is σ = 583605146880. Its totient is φ = 32272957440.

The previous prime is 144220087411. The next prime is 144220087441. The reversal of 144220087440 is 44780022441.

144220087440 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 200 + 8 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144220087395 and 144220087404.

It is not an unprimeable number, because it can be changed into a prime (144220087441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75424 + ... + 542336.

It is an arithmetic number, because the mean of its divisors is an integer number (1823766084).

Almost surely, 2^144220087440 is an apocalyptic number.

144220087440 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 144220087440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291802573440).

144220087440 is an abundant number, since it is smaller than the sum of its proper divisors (439385059440).

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

144220087440 is a wasteful number, since it uses less digits than its factorization.

144220087440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466959 (or 466947 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 144220087440 in words is "one hundred forty-four billion, two hundred twenty million, eighty-seven thousand, four hundred forty".