144223135242400 has 72 divisors (see below), whose sum is σ = 352087433766684. Its totient is φ = 57688810905600.

The previous prime is 144223135242331. The next prime is 144223135242421. The reversal of 144223135242400 is 4242531322441.

It can be written as a sum of positive squares in 6 ways, for example, as 229759166224 + 143993376076176 = 479332^2 + 11999724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144223135242400.

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, 115733034 + ... + 116972566.

Almost surely, 2^{144223135242400} is an apocalyptic number.

144223135242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144223135242400 is an abundant number, since it is smaller than the sum of its proper divisors (207864298524284).

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

144223135242400 is a wasteful number, since it uses less digits than its factorization.

144223135242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384994 (or 1384981 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 144223135242400 its reverse (4242531322441), we get a palindrome (148465666564841).

The spelling of 144223135242400 in words is "one hundred forty-four trillion, two hundred twenty-three billion, one hundred thirty-five million, two hundred forty-two thousand, four hundred".