1352635616340 has 120 divisors (see below), whose sum is σ = 4389587765640. Its totient is φ = 348264790272.

The previous prime is 1352635616317. The next prime is 1352635616401. The reversal of 1352635616340 is 436165362531.

1352635616340 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 6 + 3 + 5 + 6 + 1 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30876112656 + 1321759503684 = 175716^2 + 1149678^2 .

It is a super-2 number, since 2×1352635616340² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14348887 + ... + 14442846.

It is an arithmetic number, because the mean of its divisors is an integer number (36579898047).

Almost surely, 2^{1352635616340} is an apocalyptic number.

1352635616340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352635616340 is an abundant number, since it is smaller than the sum of its proper divisors (3036952149300).

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

1352635616340 is a wasteful number, since it uses less digits than its factorization.

1352635616340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28791783 (or 28791772 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 1352635616340 in words is "one trillion, three hundred fifty-two billion, six hundred thirty-five million, six hundred sixteen thousand, three hundred forty".