1342002025728 has 432 divisors, whose sum is σ = 4786564438656. Its totient is φ = 352127139840.

The previous prime is 1342002025717. The next prime is 1342002025729. The reversal of 1342002025728 is 8275202002431.

1342002025728 is a `hidden beast` number, since 1 + 3 + 420 + 0 + 202 + 5 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1342002025692 and 1342002025701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342002025729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41287563 + ... + 41320053.

Almost surely, 2^{1342002025728} is an apocalyptic number.

1342002025728 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 1342002025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393282219328).

1342002025728 is an abundant number, since it is smaller than the sum of its proper divisors (3444562412928).

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

1342002025728 is a wasteful number, since it uses less digits than its factorization.

1342002025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32730 (or 32713 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1342002025728 in words is "one trillion, three hundred forty-two billion, two million, twenty-five thousand, seven hundred twenty-eight".