4226724810000 has 2025 divisors, whose sum is σ = 19114780197513. Its totient is φ = 868412160000.

The previous prime is 4226724809971. The next prime is 4226724810019. The reversal of 4226724810000 is 184276224.

The square root of 4226724810000 is 2055900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4106021374224 + 120703435776 = 2026332^2 + 347424^2 .

It is a super-2 number, since 2×4226724810000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 404 ways as a sum of consecutive naturals, for example, 47491289956 + ... + 47491290044.

Almost surely, 2^{4226724810000} is an apocalyptic number.

4226724810000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4226724810000 is the 2055900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226724810000

4226724810000 is an abundant number, since it is smaller than the sum of its proper divisors (14888055387513).

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

4226724810000 is a wasteful number, since it uses less digits than its factorization.

4226724810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 4226724810000 by its sum of digits (36), we get a square (152162093160000 = 12335400²).

4226724810000 divided by its sum of digits (36) gives a square (117409022500 = 342650²).

The spelling of 4226724810000 in words is "four trillion, two hundred twenty-six billion, seven hundred twenty-four million, eight hundred ten thousand".