541666414080 has 1600 divisors, whose sum is σ = 2287628671680. Its totient is φ = 121031884800.

The previous prime is 541666414067. The next prime is 541666414127. The reversal of 541666414080 is 80414666145.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2365355406 + ... + 2365355634.

Almost surely, 2^541666414080 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 541666414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143814335840).

541666414080 is an abundant number, since it is smaller than the sum of its proper divisors (1745962257600).

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

541666414080 is a wasteful number, since it uses less digits than its factorization.

541666414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 541666414080 in words is "five hundred forty-one billion, six hundred sixty-six million, four hundred fourteen thousand, eighty".