1310168389440 has 224 divisors, whose sum is σ = 4188271527936. Its totient is φ = 346988759040.

The previous prime is 1310168389381. The next prime is 1310168389441. The reversal of 1310168389440 is 449838610131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1310168389440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310168389441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361623469 + ... + 361627091.

Almost surely, 2^{1310168389440} is an apocalyptic number.

1310168389440 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 1310168389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094135763968).

1310168389440 is an abundant number, since it is smaller than the sum of its proper divisors (2878103138496).

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

1310168389440 is a wasteful number, since it uses less digits than its factorization.

1310168389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 1310168389440 in words is "one trillion, three hundred ten billion, one hundred sixty-eight million, three hundred eighty-nine thousand, four hundred forty".