144456013578240 has 3168 divisors, whose sum is σ = 657896893748640. Its totient is φ = 30136174903296.

The previous prime is 144456013578203. The next prime is 144456013578313. The reversal of 144456013578240 is 42875310654441.

144456013578240 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 5 + 60 + 1 + 3 + 578 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1623101276116 + ... + 1623101276204.

Almost surely, 2^{144456013578240} is an apocalyptic number.

144456013578240 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 144456013578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328948446874320).

144456013578240 is an abundant number, since it is smaller than the sum of its proper divisors (513440880170400).

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

144456013578240 is an frugal number, since it uses more digits than its factorization.

144456013578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 144456013578240 in words is "one hundred forty-four trillion, four hundred fifty-six billion, thirteen million, five hundred seventy-eight thousand, two hundred forty".