1344080400 has 240 divisors, whose sum is σ = 4798234560. Its totient is φ = 319334400.

The previous prime is 1344080399. The next prime is 1344080407. The reversal of 1344080400 is 40804431.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1344080407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450915 + ... + 453885.

It is an arithmetic number, because the mean of its divisors is an integer number (19992644).

Almost surely, 2^1344080400 is an apocalyptic number.

1344080400 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 1344080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399117280).

1344080400 is an abundant number, since it is smaller than the sum of its proper divisors (3454154160).

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

1344080400 is a wasteful number, since it uses less digits than its factorization.

1344080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1344080400 is about 36661.7020881464. The cubic root of 1344080400 is about 1103.5916758184.

Adding to 1344080400 its reverse (40804431), we get a palindrome (1384884831).

The spelling of 1344080400 in words is "one billion, three hundred forty-four million, eighty thousand, four hundred".