430416460011642 has 64 divisors (see below), whose sum is σ = 932808814882560. Its totient is φ = 131613617240064.

The previous prime is 430416460011541. The next prime is 430416460011649. The reversal of 430416460011642 is 246110064614034.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 430416460011594 and 430416460011603.

It is not an unprimeable number, because it can be changed into a prime (430416460011649) 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 31 ways as a sum of consecutive naturals, for example, 55125484 + ... + 62447192.

It is an arithmetic number, because the mean of its divisors is an integer number (14575137732540).

Almost surely, 2^{430416460011642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430416460011642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466404407441280).

430416460011642 is an abundant number, since it is smaller than the sum of its proper divisors (502392354870918).

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

430416460011642 is a wasteful number, since it uses less digits than its factorization.

430416460011642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326407.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 430416460011642 in words is "four hundred thirty trillion, four hundred sixteen billion, four hundred sixty million, eleven thousand, six hundred forty-two".