420244300313010 has 192 divisors, whose sum is σ = 1102571612513280. Its totient is φ = 111049814937600.

The previous prime is 420244300313009. The next prime is 420244300313021. The reversal of 420244300313010 is 10313003442024.

420244300313010 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 44 + 300 + 313 + 0 + 1 + 0 = 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, 27414977026 + ... + 27414992354.

It is an arithmetic number, because the mean of its divisors is an integer number (5742560481840).

Almost surely, 2^{420244300313010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420244300313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551285806256640).

420244300313010 is an abundant number, since it is smaller than the sum of its proper divisors (682327312200270).

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

420244300313010 is a wasteful number, since it uses less digits than its factorization.

420244300313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20313 (or 20310 counting only the distinct ones).

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

Adding to 420244300313010 its reverse (10313003442024), we get a palindrome (430557303755034).

The spelling of 420244300313010 in words is "four hundred twenty trillion, two hundred forty-four billion, three hundred million, three hundred thirteen thousand, ten".