1344041000 has 128 divisors (see below), whose sum is σ = 3342643200. Its totient is φ = 504403200.

The previous prime is 1344040963. The next prime is 1344041003. The reversal of 1344041000 is 1404431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344041000.

It is not an unprimeable number, because it can be changed into a prime (1344041003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412722 + ... + 2413278.

It is an arithmetic number, because the mean of its divisors is an integer number (26114400).

Almost surely, 2^1344041000 is an apocalyptic number.

1344041000 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 1344041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671321600).

1344041000 is an abundant number, since it is smaller than the sum of its proper divisors (1998602200).

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

1344041000 is a wasteful number, since it uses less digits than its factorization.

1344041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1344041000 is about 36661.1647387259. The cubic root of 1344041000 is about 1103.5808922529.

Adding to 1344041000 its reverse (1404431), we get a palindrome (1345445431).

The spelling of 1344041000 in words is "one billion, three hundred forty-four million, forty-one thousand".