11141541542340 has 144 divisors (see below), whose sum is σ = 36871565552640. Its totient is φ = 2700745943040.

The previous prime is 11141541542333. The next prime is 11141541542363. The reversal of 11141541542340 is 4324514514111.

11141541542340 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 5 + 415 + 4 + 234 + 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 = 11141541542295 and 11141541542304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23203572 + ... + 23678868.

It is an arithmetic number, because the mean of its divisors is an integer number (256052538560).

Almost surely, 2^{11141541542340} is an apocalyptic number.

11141541542340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141541542340 is an abundant number, since it is smaller than the sum of its proper divisors (25730024010300).

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

11141541542340 is a wasteful number, since it uses less digits than its factorization.

11141541542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487162 (or 487157 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11141541542340 in words is "eleven trillion, one hundred forty-one billion, five hundred forty-one million, five hundred forty-two thousand, three hundred forty".