434421442232160 has 96 divisors (see below), whose sum is σ = 1368468494703072. Its totient is φ = 115842251120640.

The previous prime is 434421442232069. The next prime is 434421442232161. The reversal of 434421442232160 is 61232244124434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434421442232161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2533870 + ... + 29584850.

It is an arithmetic number, because the mean of its divisors is an integer number (14254880153157).

Almost surely, 2^{434421442232160} is an apocalyptic number.

434421442232160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434421442232160 is an abundant number, since it is smaller than the sum of its proper divisors (934047052470912).

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

434421442232160 is a wasteful number, since it uses less digits than its factorization.

434421442232160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27084456 (or 27084448 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

Adding to 434421442232160 its reverse (61232244124434), we get a palindrome (495653686356594).

The spelling of 434421442232160 in words is "four hundred thirty-four trillion, four hundred twenty-one billion, four hundred forty-two million, two hundred thirty-two thousand, one hundred sixty".