1344880440 has 192 divisors, whose sum is σ = 4635221760. Its totient is φ = 337582080.

The previous prime is 1344880393. The next prime is 1344880441. The reversal of 1344880440 is 440884431.

1344880440 is a `hidden beast` number, since 134 + 4 + 8 + 80 + 440 = 666.

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 = 1344880395 and 1344880404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344880441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411292 + ... + 414548.

It is an arithmetic number, because the mean of its divisors is an integer number (24141780).

Almost surely, 2^1344880440 is an apocalyptic number.

1344880440 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 1344880440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317610880).

1344880440 is an abundant number, since it is smaller than the sum of its proper divisors (3290341320).

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

1344880440 is a wasteful number, since it uses less digits than its factorization.

1344880440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1344880440 is about 36672.6115786700. The cubic root of 1344880440 is about 1103.8105968398.

The spelling of 1344880440 in words is "one billion, three hundred forty-four million, eight hundred eighty thousand, four hundred forty".