144240124014400 has 42 divisors (see below), whose sum is σ = 354920855156870. Its totient is φ = 57696049605120.

The previous prime is 144240124014367. The next prime is 144240124014407. The reversal of 144240124014400 is 4410421042441.

It can be written as a sum of positive squares in 3 ways, for example, as 20805713123584 + 123434410890816 = 4561328^2 + 11110104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144240124014407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45075037155 + ... + 45075040354.

Almost surely, 2^{144240124014400} is an apocalyptic number.

144240124014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240124014400 is an abundant number, since it is smaller than the sum of its proper divisors (210680731142470).

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

144240124014400 is an equidigital number, since it uses as much as digits as its factorization.

144240124014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90150077531 (or 90150077516 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 144240124014400 its reverse (4410421042441), we get a palindrome (148650545056841).

The spelling of 144240124014400 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred twenty-four million, fourteen thousand, four hundred".