541867587840 has 288 divisors, whose sum is σ = 1938033807360. Its totient is φ = 143359082496.

The previous prime is 541867587829. The next prime is 541867587857. The reversal of 541867587840 is 48785768145.

It is a happy number.

541867587840 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 6 + 7 + 587 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4327392 + ... + 4450848.

Almost surely, 2^541867587840 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 541867587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969016903680).

541867587840 is an abundant number, since it is smaller than the sum of its proper divisors (1396166219520).

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

541867587840 is a wasteful number, since it uses less digits than its factorization.

541867587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123614 (or 123594 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 541867587840 in words is "five hundred forty-one billion, eight hundred sixty-seven million, five hundred eighty-seven thousand, eight hundred forty".