1344263040 has 160 divisors (see below), whose sum is σ = 4800791160. Its totient is φ = 358456320.

The previous prime is 1344262967. The next prime is 1344263051. The reversal of 1344263040 is 403624431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1344262995 and 1344263013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38875 + ... + 64805.

Almost surely, 2^1344263040 is an apocalyptic number.

1344263040 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 1344263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400395580).

1344263040 is an abundant number, since it is smaller than the sum of its proper divisors (3456528120).

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

1344263040 is an equidigital number, since it uses as much as digits as its factorization.

1344263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25962 (or 25941 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1344263040 is about 36664.1928862480. The cubic root of 1344263040 is about 1103.6416606394.

Adding to 1344263040 its reverse (403624431), we get a palindrome (1747887471).

The spelling of 1344263040 in words is "one billion, three hundred forty-four million, two hundred sixty-three thousand, forty".