144020121040320 has 336 divisors, whose sum is σ = 532062580515840. Its totient is φ = 32910012205056.

The previous prime is 144020121040261. The next prime is 144020121040333. The reversal of 144020121040320 is 23040121020441.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174907341 + ... + 175728819.

Almost surely, 2^{144020121040320} is an apocalyptic number.

144020121040320 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 144020121040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266031290257920).

144020121040320 is an abundant number, since it is smaller than the sum of its proper divisors (388042459475520).

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

144020121040320 is a wasteful number, since it uses less digits than its factorization.

144020121040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825240 (or 825223 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144020121040320 its reverse (23040121020441), we get a palindrome (167060242060761).

The spelling of 144020121040320 in words is "one hundred forty-four trillion, twenty billion, one hundred twenty-one million, forty thousand, three hundred twenty".