1314124440 has 64 divisors (see below), whose sum is σ = 3945749760. Its totient is φ = 350133120.

The previous prime is 1314124411. The next prime is 1314124501. The reversal of 1314124440 is 444214131.

1314124440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1314124440³ (a number of 28 digits) contains 333 as substring.

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 1314124440.

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, 160035 + ... + 168045.

It is an arithmetic number, because the mean of its divisors is an integer number (61652340).

Almost surely, 2^1314124440 is an apocalyptic number.

1314124440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314124440 is an abundant number, since it is smaller than the sum of its proper divisors (2631625320).

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

1314124440 is a wasteful number, since it uses less digits than its factorization.

1314124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1314124440 is about 36250.8543347602. The cubic root of 1314124440 is about 1095.3312981817.

Adding to 1314124440 its reverse (444214131), we get a palindrome (1758338571).

The spelling of 1314124440 in words is "one billion, three hundred fourteen million, one hundred twenty-four thousand, four hundred forty".