420436010340 has 288 divisors, whose sum is σ = 1398659633280. Its totient is φ = 101754605568.

The previous prime is 420436010321. The next prime is 420436010341. The reversal of 420436010340 is 43010634024.

420436010340 is a `hidden beast` number, since 4 + 20 + 4 + 3 + 601 + 0 + 34 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (420436010341) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 84034279 + ... + 84039281.

It is an arithmetic number, because the mean of its divisors is an integer number (4856457060).

Almost surely, 2^420436010340 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 420436010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699329816640).

420436010340 is an abundant number, since it is smaller than the sum of its proper divisors (978223622940).

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

420436010340 is a wasteful number, since it uses less digits than its factorization.

420436010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 420436010340 its reverse (43010634024), we get a palindrome (463446644364).

The spelling of 420436010340 in words is "four hundred twenty billion, four hundred thirty-six million, ten thousand, three hundred forty".