541067304960 has 1008 divisors, whose sum is σ = 2326732533216. Its totient is φ = 113260363776.

The previous prime is 541067304937. The next prime is 541067304977. The reversal of 541067304960 is 69403760145.

541067304960 is a `hidden beast` number, since 54 + 106 + 7 + 3 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4260372417 + ... + 4260372543.

It is an arithmetic number, because the mean of its divisors is an integer number (2308266402).

Almost surely, 2^541067304960 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 541067304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163366266608).

541067304960 is an abundant number, since it is smaller than the sum of its proper divisors (1785665228256).

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

541067304960 is a wasteful number, since it uses less digits than its factorization.

541067304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 541067304960 in words is "five hundred forty-one billion, sixty-seven million, three hundred four thousand, nine hundred sixty".