1344541440 has 288 divisors, whose sum is σ = 4738809600. Its totient is φ = 322191360.

The previous prime is 1344541439. The next prime is 1344541447. The reversal of 1344541440 is 441454431.

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 = 1344541398 and 1344541407.

It is not an unprimeable number, because it can be changed into a prime (1344541447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5871246 + ... + 5871474.

It is an arithmetic number, because the mean of its divisors is an integer number (16454200).

Almost surely, 2^1344541440 is an apocalyptic number.

1344541440 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 1344541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369404800).

1344541440 is an abundant number, since it is smaller than the sum of its proper divisors (3394268160).

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

1344541440 is a wasteful number, since it uses less digits than its factorization.

1344541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1344541440 is about 36667.9893094781. The cubic root of 1344541440 is about 1103.7178442981.

Adding to 1344541440 its reverse (441454431), we get a palindrome (1785995871).

The spelling of 1344541440 in words is "one billion, three hundred forty-four million, five hundred forty-one thousand, four hundred forty".