1314000403040 has 96 divisors (see below), whose sum is σ = 3343504905216. Its totient is φ = 485113559040.

The previous prime is 1314000403019. The next prime is 1314000403049. The reversal of 1314000403040 is 403040004131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314000403049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20962145 + ... + 21024735.

It is an arithmetic number, because the mean of its divisors is an integer number (34828176096).

Almost surely, 2^{1314000403040} is an apocalyptic number.

1314000403040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314000403040 is an abundant number, since it is smaller than the sum of its proper divisors (2029504502176).

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

1314000403040 is a wasteful number, since it uses less digits than its factorization.

1314000403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72712 (or 72704 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1314000403040 its reverse (403040004131), we get a palindrome (1717040407171).

The spelling of 1314000403040 in words is "one trillion, three hundred fourteen billion, four hundred three thousand, forty".