144312014431400 has 48 divisors (see below), whose sum is σ = 353184666907200. Its totient is φ = 54686658098880.

The previous prime is 144312014431393. The next prime is 144312014431423. The reversal of 144312014431400 is 4134410213441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18988419152 + ... + 18988426751.

It is an arithmetic number, because the mean of its divisors is an integer number (7358013893900).

Almost surely, 2^{144312014431400} is an apocalyptic number.

144312014431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144312014431400 is an abundant number, since it is smaller than the sum of its proper divisors (208872652475800).

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

144312014431400 is a wasteful number, since it uses less digits than its factorization.

144312014431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37976845938 (or 37976845929 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144312014431400 its reverse (4134410213441), we get a palindrome (148446424644841).

The spelling of 144312014431400 in words is "one hundred forty-four trillion, three hundred twelve billion, fourteen million, four hundred thirty-one thousand, four hundred".