1344383040 has 448 divisors, whose sum is σ = 5735116800. Its totient is φ = 257679360.

The previous prime is 1344383039. The next prime is 1344383077. The reversal of 1344383040 is 403834431.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1344382989 and 1344383007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960261 + ... + 961659.

It is an arithmetic number, because the mean of its divisors is an integer number (12801600).

Almost surely, 2^1344383040 is an apocalyptic number.

1344383040 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 1344383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867558400).

1344383040 is an abundant number, since it is smaller than the sum of its proper divisors (4390733760).

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

1344383040 is a wasteful number, since it uses less digits than its factorization.

1344383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1344383040 is about 36665.8293237723. The cubic root of 1344383040 is about 1103.6744997130.

The spelling of 1344383040 in words is "one billion, three hundred forty-four million, three hundred eighty-three thousand, forty".