144044103210400 has 36 divisors (see below), whose sum is σ = 351647666964342. Its totient is φ = 57617641283840.

The previous prime is 144044103210391. The next prime is 144044103210409. The reversal of 144044103210400 is 4012301440441.

It is an interprime number because it is at equal distance from previous prime (144044103210391) and next prime (144044103210409).

It can be written as a sum of positive squares in 3 ways, for example, as 136888970401936 + 7155132808464 = 11699956^2 + 2674908^2 .

It is not an unprimeable number, because it can be changed into a prime (144044103210409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90027563707 + ... + 90027565306.

Almost surely, 2^{144044103210400} is an apocalyptic number.

144044103210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044103210400 is an abundant number, since it is smaller than the sum of its proper divisors (207603563753942).

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

144044103210400 is a wasteful number, since it uses less digits than its factorization.

144044103210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180055129033 (or 180055129020 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144044103210400 its reverse (4012301440441), we get a palindrome (148056404650841).

The spelling of 144044103210400 in words is "one hundred forty-four trillion, forty-four billion, one hundred three million, two hundred ten thousand, four hundred".