541120350055140 has 144 divisors (see below), whose sum is σ = 1668323293444080. Its totient is φ = 141931783434240.

The previous prime is 541120350055111. The next prime is 541120350055151. The reversal of 541120350055140 is 41550053021145.

541120350055140 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 2 + 0 + 3 + 500 + 5 + 5 + 140 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44192792790756 + 496927557264384 = 6647766^2 + 22291872^2 .

It is a super-2 number, since 2×541120350055140² (a number of 30 digits) contains 22 as substring.

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 = 541120350055095 and 541120350055104.

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, 1521836896 + ... + 1522192424.

It is an arithmetic number, because the mean of its divisors is an integer number (11585578426695).

Almost surely, 2^{541120350055140} is an apocalyptic number.

It is an amenable number.

541120350055140 is an abundant number, since it is smaller than the sum of its proper divisors (1127202943388940).

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

541120350055140 is a wasteful number, since it uses less digits than its factorization.

541120350055140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494222 (or 494217 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 541120350055140 in words is "five hundred forty-one trillion, one hundred twenty billion, three hundred fifty million, fifty-five thousand, one hundred forty".