541221337216 has 128 divisors (see below), whose sum is σ = 1305256464000. Its totient is φ = 218219692032.

The previous prime is 541221337207. The next prime is 541221337219. The reversal of 541221337216 is 612733122145.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (541221337219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48538810 + ... + 48549958.

It is an arithmetic number, because the mean of its divisors is an integer number (10197316125).

Almost surely, 2^541221337216 is an apocalyptic number.

541221337216 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 541221337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652628232000).

541221337216 is an abundant number, since it is smaller than the sum of its proper divisors (764035126784).

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

541221337216 is a wasteful number, since it uses less digits than its factorization.

541221337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14374 (or 14362 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The spelling of 541221337216 in words is "five hundred forty-one billion, two hundred twenty-one million, three hundred thirty-seven thousand, two hundred sixteen".