434031431311 has 16 divisors (see below), whose sum is σ = 446553410688. Its totient is φ = 421605676800.

The previous prime is 434031431263. The next prime is 434031431359. The reversal of 434031431311 is 113134130434.

It is an interprime number because it is at equal distance from previous prime (434031431263) and next prime (434031431359).

It is a cyclic number.

It is not a de Polignac number, because 434031431311 - 2²⁹ = 433494560399 is a prime.

It is a super-2 number, since 2×434031431311² (a number of 24 digits) contains 22 as substring.

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 434031431311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434031431371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8726365 + ... + 8775961.

It is an arithmetic number, because the mean of its divisors is an integer number (27909588168).

Almost surely, 2^434031431311 is an apocalyptic number.

434031431311 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

434031431311 is a deficient number, since it is larger than the sum of its proper divisors (12521979377).

434031431311 is a wasteful number, since it uses less digits than its factorization.

434031431311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50562.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 434031431311 its reverse (113134130434), we get a palindrome (547165561745).

The spelling of 434031431311 in words is "four hundred thirty-four billion, thirty-one million, four hundred thirty-one thousand, three hundred eleven".