4229652168000 has 3528 divisors, whose sum is σ = 19751387206824. Its totient is φ = 893555712000.

The previous prime is 4229652167999. The next prime is 4229652168029. The reversal of 4229652168000 is 8612569224.

4229652168000 is a `hidden beast` number, since 42 + 2 + 9 + 6 + 521 + 6 + 80 + 0 + 0 = 666.

4229652168000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 954044469504 + 3275607698496 = 976752^2 + 1809864^2 .

It is a tau number, because it is divible by the number of its divisors (3528).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 103162247980 + ... + 103162248020.

Almost surely, 2^{4229652168000} is an apocalyptic number.

4229652168000 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 4229652168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875693603412).

4229652168000 is an abundant number, since it is smaller than the sum of its proper divisors (15521735038824).

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

4229652168000 is an equidigital number, since it uses as much as digits as its factorization.

4229652168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4229652168000 in words is "four trillion, two hundred twenty-nine billion, six hundred fifty-two million, one hundred sixty-eight thousand".