144240101120040 has 256 divisors, whose sum is σ = 450202642686720. Its totient is φ = 36940456304640.

The previous prime is 144240101119991. The next prime is 144240101120113. The reversal of 144240101120040 is 40021101042441.

It is a super-2 number, since 2×144240101120040² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899189122 + ... + 899349518.

It is an arithmetic number, because the mean of its divisors is an integer number (1758604072995).

Almost surely, 2^{144240101120040} is an apocalyptic number.

144240101120040 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 144240101120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225101321343360).

144240101120040 is an abundant number, since it is smaller than the sum of its proper divisors (305962541566680).

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

144240101120040 is a wasteful number, since it uses less digits than its factorization.

144240101120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163372 (or 163368 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144240101120040 its reverse (40021101042441), we get a palindrome (184261202162481).

The spelling of 144240101120040 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred one million, one hundred twenty thousand, forty".