1344210400 has 144 divisors (see below), whose sum is σ = 3742354224. Its totient is φ = 467066880.

The previous prime is 1344210389. The next prime is 1344210403. The reversal of 1344210400 is 40124431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344210403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172999 + ... + 180601.

It is an arithmetic number, because the mean of its divisors is an integer number (25988571).

Almost surely, 2^1344210400 is an apocalyptic number.

1344210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871177112).

1344210400 is an abundant number, since it is smaller than the sum of its proper divisors (2398143824).

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

1344210400 is a wasteful number, since it uses less digits than its factorization.

1344210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1344210400 is about 36663.4750126062. The cubic root of 1344210400 is about 1103.6272546158.

Adding to 1344210400 its reverse (40124431), we get a palindrome (1384334831).

The spelling of 1344210400 in words is "one billion, three hundred forty-four million, two hundred ten thousand, four hundred".