144042202240000 has 440 divisors, whose sum is σ = 381505142806920. Its totient is φ = 54152921088000.

The previous prime is 144042202239977. The next prime is 144042202240003. The reversal of 144042202240000 is 42202240441.

It can be written as a sum of positive squares in 20 ways, for example, as 143514266305536 + 527935934464 = 11979744^2 + 726592^2 .

It is a super-2 number, since 2×144042202240000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144042202240003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8236151256 + ... + 8236168744.

It is an arithmetic number, because the mean of its divisors is an integer number (867057142743).

Almost surely, 2^{144042202240000} is an apocalyptic number.

144042202240000 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 144042202240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190752571403460).

144042202240000 is an abundant number, since it is smaller than the sum of its proper divisors (237462940566920).

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

144042202240000 is an equidigital number, since it uses as much as digits as its factorization.

144042202240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18303 (or 18270 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 144042202240000 its reverse (42202240441), we get a palindrome (144084404480441).

The spelling of 144042202240000 in words is "one hundred forty-four trillion, forty-two billion, two hundred two million, two hundred forty thousand".