1314626987520 has 1920 divisors, whose sum is σ = 6120825384960. Its totient is φ = 252494807040.

The previous prime is 1314626987491. The next prime is 1314626987521. The reversal of 1314626987520 is 257896264131.

It is a happy number.

1314626987520 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 26 + 98 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314626987521) 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 191 ways as a sum of consecutive naturals, for example, 1449422907 + ... + 1449423813.

It is an arithmetic number, because the mean of its divisors is an integer number (3187929888).

It is a 1-persistent number, because it is pandigital, but 2⋅1314626987520 = 2629253975040 is not.

Almost surely, 2^{1314626987520} is an apocalyptic number.

1314626987520 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 1314626987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060412692480).

1314626987520 is an abundant number, since it is smaller than the sum of its proper divisors (4806198397440).

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

1314626987520 is a wasteful number, since it uses less digits than its factorization.

1314626987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1314626987520 in words is "one trillion, three hundred fourteen billion, six hundred twenty-six million, nine hundred eighty-seven thousand, five hundred twenty".