434045404540434 has 128 divisors (see below), whose sum is σ = 908483316410880. Its totient is φ = 138133472256000.

The previous prime is 434045404540387. The next prime is 434045404540463.

434045404540434 is nontrivially palindromic in base 10.

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, 4991795659 + ... + 4991882609.

It is an arithmetic number, because the mean of its divisors is an integer number (7097525909460).

Almost surely, 2^{434045404540434} is an apocalyptic number.

434045404540434 is an abundant number, since it is smaller than the sum of its proper divisors (474437911870446).

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

434045404540434 is a wasteful number, since it uses less digits than its factorization.

434045404540434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89236.

The product of its (nonzero) digits is 14745600, while the sum is 48.

It can be divided in two parts, 43404540 and 4540434, that added together give a palindrome (47944974).

The spelling of 434045404540434 in words is "four hundred thirty-four trillion, forty-five billion, four hundred four million, five hundred forty thousand, four hundred thirty-four".