1344114240 has 112 divisors (see below), whose sum is σ = 4877238912. Its totient is φ = 307224576.

The previous prime is 1344114203. The next prime is 1344114271. The reversal of 1344114240 is 424114431.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1344114240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93289 + ... + 106728.

It is an arithmetic number, because the mean of its divisors is an integer number (43546776).

Almost surely, 2^1344114240 is an apocalyptic number.

1344114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344114240 is an abundant number, since it is smaller than the sum of its proper divisors (3533124672).

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

1344114240 is a wasteful number, since it uses less digits than its factorization.

1344114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200044 (or 200034 counting only the distinct ones).

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

The square root of 1344114240 is about 36662.1636022753. The cubic root of 1344114240 is about 1103.6009374739.

Adding to 1344114240 its reverse (424114431), we get a palindrome (1768228671).

The spelling of 1344114240 in words is "one billion, three hundred forty-four million, one hundred fourteen thousand, two hundred forty".