540114411045 has 64 divisors (see below), whose sum is σ = 968430839040. Its totient is φ = 254741760000.

The previous prime is 540114411029. The next prime is 540114411059.

540114411045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540114411045 - 2⁴ = 540114411029 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54946191 + ... + 54956019.

It is an arithmetic number, because the mean of its divisors is an integer number (15131731860).

Almost surely, 2^540114411045 is an apocalyptic number.

540114411045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540114411045 is a deficient number, since it is larger than the sum of its proper divisors (428316427995).

540114411045 is a wasteful number, since it uses less digits than its factorization.

540114411045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18886.

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 540114 and 411045, that added together give a palindrome (951159).

The spelling of 540114411045 in words is "five hundred forty billion, one hundred fourteen million, four hundred eleven thousand, forty-five".