144304342112400 has 60 divisors (see below), whose sum is σ = 462254909237232. Its totient is φ = 38481157896320.

The previous prime is 144304342112383. The next prime is 144304342112473. The reversal of 144304342112400 is 4211243403441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×144304342112400³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60126808014 + ... + 60126810413.

Almost surely, 2^{144304342112400} is an apocalyptic number.

144304342112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144304342112400 is an abundant number, since it is smaller than the sum of its proper divisors (317950567124832).

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

144304342112400 is a wasteful number, since it uses less digits than its factorization.

144304342112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120253618448 (or 120253618437 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144304342112400 its reverse (4211243403441), we get a palindrome (148515585515841).

The spelling of 144304342112400 in words is "one hundred forty-four trillion, three hundred four billion, three hundred forty-two million, one hundred twelve thousand, four hundred".