1314649440 has 576 divisors, whose sum is σ = 5328832320. Its totient is φ = 304570368.

The previous prime is 1314649409. The next prime is 1314649451. The reversal of 1314649440 is 449464131.

It is a happy number.

1314649440 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 649 + 4 + 4 + 0 = 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 = 1314649395 and 1314649404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77332312 + ... + 77332328.

It is an arithmetic number, because the mean of its divisors is an integer number (9251445).

Almost surely, 2^1314649440 is an apocalyptic number.

1314649440 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 1314649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664416160).

1314649440 is an abundant number, since it is smaller than the sum of its proper divisors (4014182880).

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

1314649440 is an equidigital number, since it uses as much as digits as its factorization.

1314649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1314649440 is about 36258.0948203294. The cubic root of 1314649440 is about 1095.4771424038.

The spelling of 1314649440 in words is "one billion, three hundred fourteen million, six hundred forty-nine thousand, four hundred forty".