434355040420 has 36 divisors (see below), whose sum is σ = 1061067315420. Its totient is φ = 148921727808.

The previous prime is 434355040409. The next prime is 434355040463. The reversal of 434355040420 is 24040553434.

It can be written as a sum of positive squares in 2 ways, for example, as 207739054656 + 226615985764 = 455784^2 + 476042^2 .

It is a super-2 number, since 2×434355040420² (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 221608735 + ... + 221610694.

It is an arithmetic number, because the mean of its divisors is an integer number (29474092095).

Almost surely, 2^434355040420 is an apocalyptic number.

It is an amenable number.

434355040420 is an abundant number, since it is smaller than the sum of its proper divisors (626712275000).

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

434355040420 is a wasteful number, since it uses less digits than its factorization.

434355040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443219452 (or 443219443 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 434355040420 its reverse (24040553434), we get a palindrome (458395593854).

The spelling of 434355040420 in words is "four hundred thirty-four billion, three hundred fifty-five million, forty thousand, four hundred twenty".