541941117419520 has 3264 divisors, whose sum is σ = 2432453366448000. Its totient is φ = 114142664982528.

The previous prime is 541941117419503. The next prime is 541941117419549. The reversal of 541941117419520 is 25914711149145.

541941117419520 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 41 + 1 + 1 + 74 + 1 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 952444845796 + ... + 952444846364.

It is an arithmetic number, because the mean of its divisors is an integer number (745236938250).

Almost surely, 2^{541941117419520} 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 541941117419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216226683224000).

541941117419520 is an abundant number, since it is smaller than the sum of its proper divisors (1890512249028480).

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

541941117419520 is an frugal number, since it uses more digits than its factorization.

541941117419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 541941117419520 in words is "five hundred forty-one trillion, nine hundred forty-one billion, one hundred seventeen million, four hundred nineteen thousand, five hundred twenty".