4227829560000 has 560 divisors, whose sum is σ = 15643614940800. Its totient is φ = 1119270528000.

The previous prime is 4227829559929. The next prime is 4227829560043. The reversal of 4227829560000 is 659287224.

4227829560000 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 82 + 9 + 560 + 0 + 0 + 0 = 666.

4227829560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150105919 + ... + 150134081.

It is an arithmetic number, because the mean of its divisors is an integer number (27935026680).

Almost surely, 2^{4227829560000} is an apocalyptic number.

4227829560000 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 4227829560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7821807470400).

4227829560000 is an abundant number, since it is smaller than the sum of its proper divisors (11415785380800).

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

4227829560000 is a wasteful number, since it uses less digits than its factorization.

4227829560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28343 (or 28312 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4227829560000 in words is "four trillion, two hundred twenty-seven billion, eight hundred twenty-nine million, five hundred sixty thousand".