420341223434000 has 640 divisors, whose sum is σ = 1209416917363200. Its totient is φ = 139578163200000.

The previous prime is 420341223433991. The next prime is 420341223434017. The reversal of 420341223434000 is 434322143024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7285293152 + ... + 7285350848.

It is an arithmetic number, because the mean of its divisors is an integer number (1889713933380).

Almost surely, 2^{420341223434000} is an apocalyptic number.

420341223434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420341223434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604708458681600).

420341223434000 is an abundant number, since it is smaller than the sum of its proper divisors (789075693929200).

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

420341223434000 is a wasteful number, since it uses less digits than its factorization.

420341223434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58380 (or 58364 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 420341223434000 its reverse (434322143024), we get a palindrome (420775545577024).

The spelling of 420341223434000 in words is "four hundred twenty trillion, three hundred forty-one billion, two hundred twenty-three million, four hundred thirty-four thousand".