541034342544208 has 240 divisors, whose sum is σ = 1142527319127040. Its totient is φ = 248010452121600.

The previous prime is 541034342544151. The next prime is 541034342544217. The reversal of 541034342544208 is 802445243430145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151507795063 + ... + 151507798633.

Almost surely, 2^{541034342544208} 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 541034342544208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571263659563520).

541034342544208 is an abundant number, since it is smaller than the sum of its proper divisors (601492976582832).

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

541034342544208 is a wasteful number, since it uses less digits than its factorization.

541034342544208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 49.

The spelling of 541034342544208 in words is "five hundred forty-one trillion, thirty-four billion, three hundred forty-two million, five hundred forty-four thousand, two hundred eight".