1351311013440 has 84 divisors (see below), whose sum is σ = 4647946849884. Its totient is φ = 360349602816.

The previous prime is 1351311013421. The next prime is 1351311013541. The reversal of 1351311013440 is 443101131531.

1351311013440 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 311 + 0 + 1 + 344 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 772092601344 + 579218412096 = 878688^2 + 761064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234599727 + ... + 234605486.

Almost surely, 2^{1351311013440} is an apocalyptic number.

1351311013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351311013440 is an abundant number, since it is smaller than the sum of its proper divisors (3296635836444).

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

1351311013440 is a wasteful number, since it uses less digits than its factorization.

1351311013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469205236 (or 469205223 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1351311013440 its reverse (443101131531), we get a palindrome (1794412144971).

The spelling of 1351311013440 in words is "one trillion, three hundred fifty-one billion, three hundred eleven million, thirteen thousand, four hundred forty".