434211421032 has 192 divisors, whose sum is σ = 1289486278080. Its totient is φ = 131450812416.

The previous prime is 434211421027. The next prime is 434211421073. The reversal of 434211421032 is 230124112434.

434211421032 is a `hidden beast` number, since 434 + 2 + 1 + 14 + 210 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 434211420987 and 434211421005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4318758 + ... + 4418154.

It is an arithmetic number, because the mean of its divisors is an integer number (6716074365).

Almost surely, 2^434211421032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434211421032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644743139040).

434211421032 is an abundant number, since it is smaller than the sum of its proper divisors (855274857048).

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

434211421032 is a wasteful number, since it uses less digits than its factorization.

434211421032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99552 (or 99545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 434211421032 its reverse (230124112434), we get a palindrome (664335533466).

The spelling of 434211421032 in words is "four hundred thirty-four billion, two hundred eleven million, four hundred twenty-one thousand, thirty-two".