1344466440 has 96 divisors (see below), whose sum is σ = 4387219200. Its totient is φ = 357072000.

The previous prime is 1344466439. The next prime is 1344466441. The reversal of 1344466440 is 446644431.

1344466440 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 6 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1344466439) and next prime (1344466441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1344466395 and 1344466404.

It is not an unprimeable number, because it can be changed into a prime (1344466441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 82921 + ... + 97799.

It is an arithmetic number, because the mean of its divisors is an integer number (45700200).

Almost surely, 2^1344466440 is an apocalyptic number.

1344466440 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 1344466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193609600).

1344466440 is an abundant number, since it is smaller than the sum of its proper divisors (3042752760).

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

1344466440 is a wasteful number, since it uses less digits than its factorization.

1344466440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15147 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 1344466440 is about 36666.9666048338. The cubic root of 1344466440 is about 1103.6973217182.

The spelling of 1344466440 in words is "one billion, three hundred forty-four million, four hundred sixty-six thousand, four hundred forty".