4284033629200 has 480 divisors, whose sum is σ = 11563251904512. Its totient is φ = 1514612736000.

The previous prime is 4284033629177. The next prime is 4284033629201. The reversal of 4284033629200 is 29263304824.

4284033629200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4284033629200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4284033629201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9939752985 + ... + 9939753415.

Almost surely, 2^{4284033629200} is an apocalyptic number.

4284033629200 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 4284033629200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781625952256).

4284033629200 is an abundant number, since it is smaller than the sum of its proper divisors (7279218275312).

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

4284033629200 is a wasteful number, since it uses less digits than its factorization.

4284033629200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 4284033629200 in words is "four trillion, two hundred eighty-four billion, thirty-three million, six hundred twenty-nine thousand, two hundred".