10355013002340 has 144 divisors (see below), whose sum is σ = 32292475029360. Its totient is φ = 2684261007360.

The previous prime is 10355013002333. The next prime is 10355013002363. The reversal of 10355013002340 is 4320031055301.

10355013002340 is a `hidden beast` number, since 1 + 0 + 355 + 0 + 1 + 300 + 2 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1989995491584 + 8365017510756 = 1410672^2 + 2892234^2 .

It is a super-3 number, since 3×10355013002340³ (a number of 40 digits) contains 333 as substring.

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, 488445 + ... + 4576964.

It is an arithmetic number, because the mean of its divisors is an integer number (224253298815).

Almost surely, 2^{10355013002340} is an apocalyptic number.

10355013002340 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 10355013002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16146237514680).

10355013002340 is an abundant number, since it is smaller than the sum of its proper divisors (21937462027020).

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

10355013002340 is a wasteful number, since it uses less digits than its factorization.

10355013002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065742 (or 5065737 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10355013002340 its reverse (4320031055301), we get a palindrome (14675044057641).

The spelling of 10355013002340 in words is "ten trillion, three hundred fifty-five billion, thirteen million, two thousand, three hundred forty".