434312040420 has 288 divisors, whose sum is σ = 1384127087616. Its totient is φ = 110094336000.

The previous prime is 434312040419. The next prime is 434312040431. The reversal of 434312040420 is 24040213434.

It is a happy number.

434312040420 is a `hidden beast` number, since 4 + 3 + 4 + 31 + 204 + 0 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149916412 + ... + 149919308.

It is an arithmetic number, because the mean of its divisors is an integer number (4805996832).

Almost surely, 2^434312040420 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 434312040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692063543808).

434312040420 is an abundant number, since it is smaller than the sum of its proper divisors (949815047196).

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

434312040420 is a wasteful number, since it uses less digits than its factorization.

434312040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434312040420 its reverse (24040213434), we get a palindrome (458352253854).

The spelling of 434312040420 in words is "four hundred thirty-four billion, three hundred twelve million, forty thousand, four hundred twenty".