1344979440 has 360 divisors, whose sum is σ = 5342135760. Its totient is φ = 302303232.

The previous prime is 1344979421. The next prime is 1344979451. The reversal of 1344979440 is 449794431.

1344979440 is a `hidden beast` number, since 1 + 34 + 497 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2363476 + ... + 2364044.

It is an arithmetic number, because the mean of its divisors is an integer number (14839266).

Almost surely, 2^1344979440 is an apocalyptic number.

1344979440 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 1344979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671067880).

1344979440 is an abundant number, since it is smaller than the sum of its proper divisors (3997156320).

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

1344979440 is a wasteful number, since it uses less digits than its factorization.

1344979440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1344979440 is about 36673.9613349853. The cubic root of 1344979440 is about 1103.8376809246.

The spelling of 1344979440 in words is "one billion, three hundred forty-four million, nine hundred seventy-nine thousand, four hundred forty".