4233420979200 has 1056 divisors, whose sum is σ = 17945192862720. Its totient is φ = 957947904000.

The previous prime is 4233420979189. The next prime is 4233420979217. The reversal of 4233420979200 is 29790243324.

4233420979200 is a `hidden beast` number, since 4 + 2 + 334 + 20 + 97 + 9 + 200 = 666.

4233420979200 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488674069 + ... + 488682731.

Almost surely, 2^{4233420979200} is an apocalyptic number.

4233420979200 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 4233420979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972596431360).

4233420979200 is an abundant number, since it is smaller than the sum of its proper divisors (13711771883520).

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

4233420979200 is a wasteful number, since it uses less digits than its factorization.

4233420979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 4233420979200 in words is "four trillion, two hundred thirty-three billion, four hundred twenty million, nine hundred seventy-nine thousand, two hundred".