144431521500400 has 120 divisors (see below), whose sum is σ = 351607066332480. Its totient is φ = 57005926149120.

The previous prime is 144431521500389. The next prime is 144431521500407. The reversal of 144431521500400 is 4005125134441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144431521500407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49553994 + ... + 52387606.

It is an arithmetic number, because the mean of its divisors is an integer number (2930058886104).

Almost surely, 2^{144431521500400} is an apocalyptic number.

144431521500400 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 144431521500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175803533166240).

144431521500400 is an abundant number, since it is smaller than the sum of its proper divisors (207175544832080).

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

144431521500400 is a wasteful number, since it uses less digits than its factorization.

144431521500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835323 (or 2835312 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 144431521500400 its reverse (4005125134441), we get a palindrome (148436646634841).

The spelling of 144431521500400 in words is "one hundred forty-four trillion, four hundred thirty-one billion, five hundred twenty-one million, five hundred thousand, four hundred".