541410534112140 has 576 divisors, whose sum is σ = 2161791980974080. Its totient is φ = 106257780288000.

The previous prime is 541410534112139. The next prime is 541410534112171. The reversal of 541410534112140 is 41211435014145.

541410534112140 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 1 + 0 + 534 + 112 + 1 + 4 + 0 = 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 = 541410534112095 and 541410534112104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84059895 + ... + 90271185.

It is an arithmetic number, because the mean of its divisors is an integer number (3753111078080).

Almost surely, 2^{541410534112140} 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 541410534112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080895990487040).

541410534112140 is an abundant number, since it is smaller than the sum of its proper divisors (1620381446861940).

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

541410534112140 is a wasteful number, since it uses less digits than its factorization.

541410534112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211674 (or 6211669 counting only the distinct ones).

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

Adding to 541410534112140 its reverse (41211435014145), we get a palindrome (582621969126285).

The spelling of 541410534112140 in words is "five hundred forty-one trillion, four hundred ten billion, five hundred thirty-four million, one hundred twelve thousand, one hundred forty".