144000040400 has 120 divisors (see below), whose sum is σ = 352040247000. Its totient is φ = 56589926400.

The previous prime is 144000040391. The next prime is 144000040411. The reversal of 144000040400 is 4040000441.

It can be written as a sum of positive squares in 12 ways, for example, as 104349673024 + 39650367376 = 323032^2 + 199124^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24616676 + ... + 24622524.

It is an arithmetic number, because the mean of its divisors is an integer number (2933668725).

Almost surely, 2^144000040400 is an apocalyptic number.

144000040400 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 144000040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176020123500).

144000040400 is an abundant number, since it is smaller than the sum of its proper divisors (208040206600).

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

144000040400 is a wasteful number, since it uses less digits than its factorization.

144000040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 144000040400 its reverse (4040000441), we get a palindrome (148040040841).

The spelling of 144000040400 in words is "one hundred forty-four billion, forty thousand, four hundred".