4229668051200 has 486 divisors, whose sum is σ = 15218888984754. Its totient is φ = 1120731709440.

The previous prime is 4229668051181. The next prime is 4229668051201. The reversal of 4229668051200 is 21508669224.

4229668051200 is a `hidden beast` number, since 42 + 2 + 96 + 6 + 8 + 0 + 512 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18570057984 + 4211097993216 = 136272^2 + 2052096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4229668051201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1606405084 + ... + 1606407716.

Almost surely, 2^{4229668051200} is an apocalyptic number.

4229668051200 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 4229668051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7609444492377).

4229668051200 is an abundant number, since it is smaller than the sum of its proper divisors (10989220933554).

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

4229668051200 is a wasteful number, since it uses less digits than its factorization.

4229668051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2810 counting only the distinct ones).

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

The spelling of 4229668051200 in words is "four trillion, two hundred twenty-nine billion, six hundred sixty-eight million, fifty-one thousand, two hundred".