144431513454400 has 84 divisors (see below), whose sum is σ = 356201343028960. Its totient is φ = 57641004633600.

The previous prime is 144431513454383. The next prime is 144431513454409. The reversal of 144431513454400 is 4454315134441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144431513454409) 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 11 ways as a sum of consecutive naturals, for example, 102110466 + ... + 103515265.

Almost surely, 2^{144431513454400} is an apocalyptic number.

144431513454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144431513454400 is an abundant number, since it is smaller than the sum of its proper divisors (211769829574560).

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

144431513454400 is a wasteful number, since it uses less digits than its factorization.

144431513454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205626192 (or 205626177 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 43.

Adding to 144431513454400 its reverse (4454315134441), we get a palindrome (148885828588841).

The spelling of 144431513454400 in words is "one hundred forty-four trillion, four hundred thirty-one billion, five hundred thirteen million, four hundred fifty-four thousand, four hundred".