541034430145 has 32 divisors (see below), whose sum is σ = 709636432896. Its totient is φ = 392717414400.

The previous prime is 541034430127. The next prime is 541034430163.

541034430145 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (541034430127) and next prime (541034430163).

It is not a de Polignac number, because 541034430145 - 2⁵ = 541034430113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 541034430145.

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, 92371057 + ... + 92376913.

It is an arithmetic number, because the mean of its divisors is an integer number (22176138528).

Almost surely, 2^541034430145 is an apocalyptic number.

541034430145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541034430145 is a deficient number, since it is larger than the sum of its proper divisors (168602002751).

541034430145 is a wasteful number, since it uses less digits than its factorization.

541034430145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8841.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 541034 and 430145, that added together give a palindrome (971179).

The spelling of 541034430145 in words is "five hundred forty-one billion, thirty-four million, four hundred thirty thousand, one hundred forty-five".