144413400042 has 80 divisors (see below), whose sum is σ = 336892351752. Its totient is φ = 46195038720.

The previous prime is 144413400041. The next prime is 144413400119. The reversal of 144413400042 is 240004314441.

It can be written as a sum of positive squares in 4 ways, for example, as 143503834761 + 909565281 = 378819^2 + 30159^2 .

It is a super-2 number, since 2×144413400042² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144413399979 and 144413400015.

It is not an unprimeable number, because it can be changed into a prime (144413400041) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 272542 + ... + 602582.

Almost surely, 2^144413400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144413400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168446175876).

144413400042 is an abundant number, since it is smaller than the sum of its proper divisors (192478951710).

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

144413400042 is a wasteful number, since it uses less digits than its factorization.

144413400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330165 (or 330156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144413400042 its reverse (240004314441), we get a palindrome (384417714483).

The spelling of 144413400042 in words is "one hundred forty-four billion, four hundred thirteen million, four hundred thousand, forty-two".