541016815401216 has 3456 divisors, whose sum is σ = 2082768629760000. Its totient is φ = 133803797299200.

The previous prime is 541016815401211. The next prime is 541016815401239. The reversal of 541016815401216 is 612104518610145.

541016815401216 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 1 + 6 + 81 + 540 + 1 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (541016815401211) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3022440309415 + ... + 3022440309593.

It is an arithmetic number, because the mean of its divisors is an integer number (602652960000).

Almost surely, 2^{541016815401216} is an apocalyptic number.

541016815401216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541016815401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041384314880000).

541016815401216 is an abundant number, since it is smaller than the sum of its proper divisors (1541751814358784).

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

541016815401216 is a wasteful number, since it uses less digits than its factorization.

541016815401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 541016815401216 in words is "five hundred forty-one trillion, sixteen billion, eight hundred fifteen million, four hundred one thousand, two hundred sixteen".