541011100434 has 128 divisors (see below), whose sum is σ = 1335249100800. Its totient is φ = 145770609600.

The previous prime is 541011100429. The next prime is 541011100439. The reversal of 541011100434 is 434001110145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541011100429) and next prime (541011100439).

It is not an unprimeable number, because it can be changed into a prime (541011100439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3280224 + ... + 3441204.

It is an arithmetic number, because the mean of its divisors is an integer number (10431633600).

Almost surely, 2^541011100434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541011100434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667624550400).

541011100434 is an abundant number, since it is smaller than the sum of its proper divisors (794238000366).

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

541011100434 is a wasteful number, since it uses less digits than its factorization.

541011100434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161101 (or 161087 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 541011100434 its reverse (434001110145), we get a palindrome (975012210579).

The spelling of 541011100434 in words is "five hundred forty-one billion, eleven million, one hundred thousand, four hundred thirty-four".