144443440112400 has 960 divisors, whose sum is σ = 607122052535040. Its totient is φ = 32155464499200.

The previous prime is 144443440112399. The next prime is 144443440112417. The reversal of 144443440112400 is 4211044344441.

144443440112400 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 3 + 4 + 401 + 1 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 297826902 + ... + 298311498.

It is an arithmetic number, because the mean of its divisors is an integer number (632418804724).

Almost surely, 2^{144443440112400} is an apocalyptic number.

144443440112400 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 144443440112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303561026267520).

144443440112400 is an abundant number, since it is smaller than the sum of its proper divisors (462678612422640).

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

144443440112400 is a wasteful number, since it uses less digits than its factorization.

144443440112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484841 (or 484824 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144443440112400 its reverse (4211044344441), we get a palindrome (148654484456841).

The spelling of 144443440112400 in words is "one hundred forty-four trillion, four hundred forty-three billion, four hundred forty million, one hundred twelve thousand, four hundred".