144406353000 has 512 divisors, whose sum is σ = 556649533440. Its totient is φ = 30351283200.

The previous prime is 144406352989. The next prime is 144406353019. The reversal of 144406353000 is 353604441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83810139 + ... + 83811861.

It is an arithmetic number, because the mean of its divisors is an integer number (1087206120).

Almost surely, 2^144406353000 is an apocalyptic number.

144406353000 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 144406353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278324766720).

144406353000 is an abundant number, since it is smaller than the sum of its proper divisors (412243180440).

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

144406353000 is a wasteful number, since it uses less digits than its factorization.

144406353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 144406353000 its reverse (353604441), we get a palindrome (144759957441).

The spelling of 144406353000 in words is "one hundred forty-four billion, four hundred six million, three hundred fifty-three thousand".