434431004314021 has 16 divisors (see below), whose sum is σ = 510382360389888. Its totient is φ = 364556143425600.

The previous prime is 434431004314009. The next prime is 434431004314037. The reversal of 434431004314021 is 120413400134434.

It is a cyclic number.

It is not a de Polignac number, because 434431004314021 - 2⁵ = 434431004313989 is a prime.

It is a super-3 number, since 3×434431004314021³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434431004314921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34361076 + ... + 45271906.

It is an arithmetic number, because the mean of its divisors is an integer number (31898897524368).

Almost surely, 2^{434431004314021} is an apocalyptic number.

It is an amenable number.

434431004314021 is a deficient number, since it is larger than the sum of its proper divisors (75951356075867).

434431004314021 is a wasteful number, since it uses less digits than its factorization.

434431004314021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189292.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 434431004314021 its reverse (120413400134434), we get a palindrome (554844404448455).

The spelling of 434431004314021 in words is "four hundred thirty-four trillion, four hundred thirty-one billion, four million, three hundred fourteen thousand, twenty-one".