144034230400 has 192 divisors, whose sum is σ = 368670544200. Its totient is φ = 55537664000.

The previous prime is 144034230383. The next prime is 144034230419. The reversal of 144034230400 is 4032430441.

It can be written as a sum of positive squares in 12 ways, for example, as 1531000384 + 142503230016 = 39128^2 + 377496^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 110709750 + ... + 110711050.

Almost surely, 2^144034230400 is an apocalyptic number.

144034230400 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 144034230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184335272100).

144034230400 is an abundant number, since it is smaller than the sum of its proper divisors (224636313800).

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

144034230400 is a wasteful number, since it uses less digits than its factorization.

144034230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 144034230400 its reverse (4032430441), we get a palindrome (148066660841).

The spelling of 144034230400 in words is "one hundred forty-four billion, thirty-four million, two hundred thirty thousand, four hundred".