4228733162700 has 216 divisors, whose sum is σ = 13956732753600. Its totient is φ = 1067975694720.

The previous prime is 4228733162699. The next prime is 4228733162711. The reversal of 4228733162700 is 72613378224.

4228733162700 is a `hidden beast` number, since 42 + 2 + 8 + 7 + 331 + 6 + 270 + 0 = 666.

It is a super-2 number, since 2×4228733162700² (a number of 26 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 56786091 + ... + 56860509.

Almost surely, 2^{4228733162700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4228733162700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978366376800).

4228733162700 is an abundant number, since it is smaller than the sum of its proper divisors (9727999590900).

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

4228733162700 is a wasteful number, since it uses less digits than its factorization.

4228733162700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77781 (or 77771 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 4228733162700 in words is "four trillion, two hundred twenty-eight billion, seven hundred thirty-three million, one hundred sixty-two thousand, seven hundred".