1340928001728 has 560 divisors, whose sum is σ = 4729813109824. Its totient is φ = 367634350080.

The previous prime is 1340928001727. The next prime is 1340928001739. The reversal of 1340928001728 is 8271008290431.

It is a happy number.

1340928001728 is a `hidden beast` number, since 1 + 340 + 9 + 280 + 0 + 1 + 7 + 28 = 666.

It is a super-3 number, since 3×1340928001728³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1340928001727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98007048 + ... + 98020728.

Almost surely, 2^{1340928001728} is an apocalyptic number.

1340928001728 is a gapful number since it is divisible by the number (18) 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 1340928001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364906554912).

1340928001728 is an abundant number, since it is smaller than the sum of its proper divisors (3388885108096).

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

1340928001728 is a wasteful number, since it uses less digits than its factorization.

1340928001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13822 (or 13803 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1340928001728 in words is "one trillion, three hundred forty billion, nine hundred twenty-eight million, one thousand, seven hundred twenty-eight".