4312434340032 has 112 divisors (see below), whose sum is σ = 14043055471872. Its totient is φ = 1137345315840.

The previous prime is 4312434340031. The next prime is 4312434340043. The reversal of 4312434340032 is 2300434342134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4312434340032² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4312434339975 and 4312434340002.

It is not an unprimeable number, because it can be changed into a prime (4312434340031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123392394 + ... + 123427337.

It is an arithmetic number, because the mean of its divisors is an integer number (125384423856).

Almost surely, 2^{4312434340032} is an apocalyptic number.

4312434340032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4312434340032 is an abundant number, since it is smaller than the sum of its proper divisors (9730621131840).

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

4312434340032 is a wasteful number, since it uses less digits than its factorization.

4312434340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246819766 (or 246819756 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 4312434340032 its reverse (2300434342134), we get a palindrome (6612868682166).

The spelling of 4312434340032 in words is "four trillion, three hundred twelve billion, four hundred thirty-four million, three hundred forty thousand, thirty-two".