434212044420 has 384 divisors, whose sum is σ = 1624462221312. Its totient is φ = 83969740800.

The previous prime is 434212044313. The next prime is 434212044449. The reversal of 434212044420 is 24440212434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3876400 + ... + 3986840.

It is an arithmetic number, because the mean of its divisors is an integer number (4230370368).

Almost surely, 2^434212044420 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 434212044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812231110656).

434212044420 is an abundant number, since it is smaller than the sum of its proper divisors (1190250176892).

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

434212044420 is a wasteful number, since it uses less digits than its factorization.

434212044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110531 (or 110529 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 434212044420 its reverse (24440212434), we get a palindrome (458652256854).

The spelling of 434212044420 in words is "four hundred thirty-four billion, two hundred twelve million, forty-four thousand, four hundred twenty".