144280649919120 has 640 divisors, whose sum is σ = 542533275648000. Its totient is φ = 31238236569600.

The previous prime is 144280649919083. The next prime is 144280649919163. The reversal of 144280649919120 is 21919946082441.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5999432856 + ... + 5999456904.

It is an arithmetic number, because the mean of its divisors is an integer number (847708243200).

Almost surely, 2^{144280649919120} is an apocalyptic number.

144280649919120 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 144280649919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271266637824000).

144280649919120 is an abundant number, since it is smaller than the sum of its proper divisors (398252625728880).

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

144280649919120 is a wasteful number, since it uses less digits than its factorization.

144280649919120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29759 (or 29753 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 144280649919120 in words is "one hundred forty-four trillion, two hundred eighty billion, six hundred forty-nine million, nine hundred nineteen thousand, one hundred twenty".