1344400224 has 24 divisors (see below), whose sum is σ = 3529050840. Its totient is φ = 448133376.

The previous prime is 1344400139. The next prime is 1344400229. The reversal of 1344400224 is 4220044431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1344400194 and 1344400203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344400229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7001989 + ... + 7002180.

It is an arithmetic number, because the mean of its divisors is an integer number (147043785).

Almost surely, 2^1344400224 is an apocalyptic number.

It is an amenable number.

1344400224 is an abundant number, since it is smaller than the sum of its proper divisors (2184650616).

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

1344400224 is a wasteful number, since it uses less digits than its factorization.

1344400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14004182 (or 14004174 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1344400224 is about 36666.0636556476. The cubic root of 1344400224 is about 1103.6792021084.

Adding to 1344400224 its reverse (4220044431), we get a palindrome (5564444655).

The spelling of 1344400224 in words is "one billion, three hundred forty-four million, four hundred thousand, two hundred twenty-four".