541856010240 has 208 divisors, whose sum is σ = 1926365932800. Its totient is φ = 144494788608.

The previous prime is 541856010211. The next prime is 541856010253. The reversal of 541856010240 is 42010658145.

It is a happy number.

541856010240 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 5 + 601 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 541856010195 and 541856010204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63001 + ... + 1042919.

Almost surely, 2^541856010240 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 541856010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963182966400).

541856010240 is an abundant number, since it is smaller than the sum of its proper divisors (1384509922560).

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

541856010240 is an equidigital number, since it uses as much as digits as its factorization.

541856010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979957 (or 979929 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 541856010240 its reverse (42010658145), we get a palindrome (583866668385).

The spelling of 541856010240 in words is "five hundred forty-one billion, eight hundred fifty-six million, ten thousand, two hundred forty".