1314150103440 has 120 divisors (see below), whose sum is σ = 4419295807680. Its totient is φ = 349968229632.

The previous prime is 1314150103433. The next prime is 1314150103447. The reversal of 1314150103440 is 443010514131.

1314150103440 is a `hidden beast` number, since 1 + 31 + 41 + 50 + 103 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1314150103433) and next prime (1314150103447).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1314150103447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693310 + ... + 1763229.

It is an arithmetic number, because the mean of its divisors is an integer number (36827465064).

Almost surely, 2^{1314150103440} is an apocalyptic number.

1314150103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314150103440 is an abundant number, since it is smaller than the sum of its proper divisors (3105145704240).

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

1314150103440 is a wasteful number, since it uses less digits than its factorization.

1314150103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457301 (or 2457292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1314150103440 its reverse (443010514131), we get a palindrome (1757160617571).

The spelling of 1314150103440 in words is "one trillion, three hundred fourteen billion, one hundred fifty million, one hundred three thousand, four hundred forty".