1344141540 has 480 divisors, whose sum is σ = 5122656000. Its totient is φ = 294658560.

The previous prime is 1344141523. The next prime is 1344141569. The reversal of 1344141540 is 451414431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22782031 + ... + 22782089.

It is an arithmetic number, because the mean of its divisors is an integer number (10672200).

Almost surely, 2^1344141540 is an apocalyptic number.

1344141540 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 1344141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561328000).

1344141540 is an abundant number, since it is smaller than the sum of its proper divisors (3778514460).

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

1344141540 is a wasteful number, since it uses less digits than its factorization.

1344141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1344141540 is about 36662.5359188368. The cubic root of 1344141540 is about 1103.6084090862.

Adding to 1344141540 its reverse (451414431), we get a palindrome (1795555971).

It can be divided in two parts, 1344 and 141540, that added together give a square (142884 = 378²).

The spelling of 1344141540 in words is "one billion, three hundred forty-four million, one hundred forty-one thousand, five hundred forty".