1315728420608 has 432 divisors, whose sum is σ = 3215863332864. Its totient is φ = 525891502080.

The previous prime is 1315728420593. The next prime is 1315728420637. The reversal of 1315728420608 is 8060248275131.

It is a super-3 number, since 3×1315728420608³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10360066241 + ... + 10360066367.

Almost surely, 2^{1315728420608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315728420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607931666432).

1315728420608 is an abundant number, since it is smaller than the sum of its proper divisors (1900134912256).

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

1315728420608 is a wasteful number, since it uses less digits than its factorization.

1315728420608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

It can be divided in two parts, 131572 and 8420608, that multiplied together give a square (1107916235776 = 1052576²).

The spelling of 1315728420608 in words is "one trillion, three hundred fifteen billion, seven hundred twenty-eight million, four hundred twenty thousand, six hundred eight".