1314440064 has 384 divisors, whose sum is σ = 4760870400. Its totient is φ = 339406848.

The previous prime is 1314439961. The next prime is 1314440089. The reversal of 1314440064 is 4600444131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3523782 + ... + 3524154.

It is an arithmetic number, because the mean of its divisors is an integer number (12398100).

Almost surely, 2^1314440064 is an apocalyptic number.

1314440064 is a gapful number since it is divisible by the number (14) 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 1314440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380435200).

1314440064 is an abundant number, since it is smaller than the sum of its proper divisors (3446430336).

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

1314440064 is a wasteful number, since it uses less digits than its factorization.

1314440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1314440064 is about 36255.2074052818. The cubic root of 1314440064 is about 1095.4189827168.

Adding to 1314440064 its reverse (4600444131), we get a palindrome (5914884195).

The spelling of 1314440064 in words is "one billion, three hundred fourteen million, four hundred forty thousand, sixty-four".