144424680670080 has 512 divisors, whose sum is σ = 526334182732800. Its totient is φ = 37400614133760.

The previous prime is 144424680670019. The next prime is 144424680670091. The reversal of 144424680670080 is 80076086424441.

144424680670080 is a `hidden beast` number, since 1 + 4 + 4 + 42 + 468 + 0 + 67 + 0 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144424680669999 and 144424680670026.

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, 334169325 + ... + 334601235.

It is an arithmetic number, because the mean of its divisors is an integer number (1027996450650).

Almost surely, 2^{144424680670080} is an apocalyptic number.

144424680670080 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 144424680670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263167091366400).

144424680670080 is an abundant number, since it is smaller than the sum of its proper divisors (381909502062720).

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

144424680670080 is a wasteful number, since it uses less digits than its factorization.

144424680670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432499 (or 432481 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 144424680670080 in words is "one hundred forty-four trillion, four hundred twenty-four billion, six hundred eighty million, six hundred seventy thousand, eighty".