1314223440 has 80 divisors (see below), whose sum is σ = 4105290816. Its totient is φ = 347776000.

The previous prime is 1314223439. The next prime is 1314223459. The reversal of 1314223440 is 443224131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1314223440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10540 + ... + 52340.

Almost surely, 2^1314223440 is an apocalyptic number.

1314223440 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 1314223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052645408).

1314223440 is an abundant number, since it is smaller than the sum of its proper divisors (2791067376).

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

1314223440 is a wasteful number, since it uses less digits than its factorization.

1314223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41948 (or 41942 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1314223440 is about 36252.2197941036. The cubic root of 1314223440 is about 1095.3588032064.

Adding to 1314223440 its reverse (443224131), we get a palindrome (1757447571).

The spelling of 1314223440 in words is "one billion, three hundred fourteen million, two hundred twenty-three thousand, four hundred forty".