144413141200 has 60 divisors (see below), whose sum is σ = 350023058028. Its totient is φ = 57254041600.

The previous prime is 144413141183. The next prime is 144413141261. The reversal of 144413141200 is 2141314441.

It can be written as a sum of positive squares in 6 ways, for example, as 35431285824 + 108981855376 = 188232^2 + 330124^2 .

It is a super-2 number, since 2×144413141200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 1552291 + ... + 1642690.

Almost surely, 2^144413141200 is an apocalyptic number.

144413141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144413141200 is an abundant number, since it is smaller than the sum of its proper divisors (205609916828).

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

144413141200 is a wasteful number, since it uses less digits than its factorization.

144413141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195112 (or 3195101 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 144413141200 its reverse (2141314441), we get a palindrome (146554455641).

The spelling of 144413141200 in words is "one hundred forty-four billion, four hundred thirteen million, one hundred forty-one thousand, two hundred".