541801134288 has 240 divisors, whose sum is σ = 1624792006656. Its totient is φ = 168158453760.

The previous prime is 541801134253. The next prime is 541801134313. The reversal of 541801134288 is 882431108145.

541801134288 is a `hidden beast` number, since 5 + 418 + 0 + 113 + 42 + 88 = 666.

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, 19583281 + ... + 19610927.

Almost surely, 2^541801134288 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 541801134288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812396003328).

541801134288 is an abundant number, since it is smaller than the sum of its proper divisors (1082990872368).

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

541801134288 is a wasteful number, since it uses less digits than its factorization.

541801134288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27842 (or 27833 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 541801134288 in words is "five hundred forty-one billion, eight hundred one million, one hundred thirty-four thousand, two hundred eighty-eight".