4226463206000 has 320 divisors, whose sum is σ = 11976913428480. Its totient is φ = 1412322508800.

The previous prime is 4226463205969. The next prime is 4226463206033. The reversal of 4226463206000 is 6023646224.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 288350672 + ... + 288365328.

It is an arithmetic number, because the mean of its divisors is an integer number (37427854464).

Almost surely, 2^{4226463206000} is an apocalyptic number.

4226463206000 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 4226463206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988456714240).

4226463206000 is an abundant number, since it is smaller than the sum of its proper divisors (7750450222480).

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

4226463206000 is a wasteful number, since it uses less digits than its factorization.

4226463206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15209 (or 15193 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 4226463206000 in words is "four trillion, two hundred twenty-six billion, four hundred sixty-three million, two hundred six thousand".