144314200410330 has 128 divisors (see below), whose sum is σ = 358151999569920. Its totient is φ = 37177272299520.

The previous prime is 144314200410293. The next prime is 144314200410343. The reversal of 144314200410330 is 33014002413441.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3350901457 + ... + 3350944523.

It is an arithmetic number, because the mean of its divisors is an integer number (2798062496640).

Almost surely, 2^{144314200410330} is an apocalyptic number.

144314200410330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144314200410330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179075999784960).

144314200410330 is an abundant number, since it is smaller than the sum of its proper divisors (213837799159590).

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

144314200410330 is a wasteful number, since it uses less digits than its factorization.

144314200410330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49324.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144314200410330 its reverse (33014002413441), we get a palindrome (177328202823771).

The spelling of 144314200410330 in words is "one hundred forty-four trillion, three hundred fourteen billion, two hundred million, four hundred ten thousand, three hundred thirty".