1344401300 has 72 divisors (see below), whose sum is σ = 3189170880. Its totient is φ = 487859200.

The previous prime is 1344401291. The next prime is 1344401329. The reversal of 1344401300 is 31044431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710756 + ... + 712644.

It is an arithmetic number, because the mean of its divisors is an integer number (44294040).

Almost surely, 2^1344401300 is an apocalyptic number.

1344401300 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 1344401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594585440).

1344401300 is an abundant number, since it is smaller than the sum of its proper divisors (1844769580).

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

1344401300 is a wasteful number, since it uses less digits than its factorization.

1344401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1344401300 is about 36666.0783286132. The cubic root of 1344401300 is about 1103.6794965541.

Adding to 1344401300 its reverse (31044431), we get a palindrome (1375445731).

The spelling of 1344401300 in words is "one billion, three hundred forty-four million, four hundred one thousand, three hundred".