541179213120 has 1792 divisors, whose sum is σ = 2620129075200. Its totient is φ = 101762334720.

The previous prime is 541179213073. The next prime is 541179213143. The reversal of 541179213120 is 21312971145.

It is a happy number.

541179213120 is a `hidden beast` number, since 5 + 411 + 7 + 9 + 213 + 1 + 20 = 666.

541179213120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 253954455 + ... + 253956585.

It is an arithmetic number, because the mean of its divisors is an integer number (1462125600).

Almost surely, 2^541179213120 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 541179213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310064537600).

541179213120 is an abundant number, since it is smaller than the sum of its proper divisors (2078949862080).

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

541179213120 is a wasteful number, since it uses less digits than its factorization.

541179213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 541179213120 in words is "five hundred forty-one billion, one hundred seventy-nine million, two hundred thirteen thousand, one hundred twenty".