4260144430080 has 2112 divisors, whose sum is σ = 19424786734080. Its totient is φ = 870712934400.

The previous prime is 4260144430057. The next prime is 4260144430093. The reversal of 4260144430080 is 800344410624.

4260144430080 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 144 + 430 + 0 + 80 = 666.

4260144430080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×4260144430080³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69838433250 + ... + 69838433310.

Almost surely, 2^{4260144430080} is an apocalyptic number.

4260144430080 is a gapful number since it is divisible by the number (40) 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 4260144430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9712393367040).

4260144430080 is an abundant number, since it is smaller than the sum of its proper divisors (15164642304000).

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

4260144430080 is an frugal number, since it uses more digits than its factorization.

4260144430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4260144430080 in words is "four trillion, two hundred sixty billion, one hundred forty-four million, four hundred thirty thousand, eighty".