5341135502340 has 384 divisors, whose sum is σ = 19087778304000. Its totient is φ = 1226273126400.

The previous prime is 5341135502237. The next prime is 5341135502341. The reversal of 5341135502340 is 432055311435.

5341135502340 is a `hidden beast` number, since 5 + 3 + 4 + 113 + 5 + 502 + 34 + 0 = 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 = 5341135502295 and 5341135502304.

It is not an unprimeable number, because it can be changed into a prime (5341135502341) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 478633681 + ... + 478644839.

It is an arithmetic number, because the mean of its divisors is an integer number (49707756000).

Almost surely, 2^{5341135502340} 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 5341135502340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9543889152000).

5341135502340 is an abundant number, since it is smaller than the sum of its proper divisors (13746642801660).

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

5341135502340 is a wasteful number, since it uses less digits than its factorization.

5341135502340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15448 (or 15440 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 5341135502340 in words is "five trillion, three hundred forty-one billion, one hundred thirty-five million, five hundred two thousand, three hundred forty".