4233968352900 has 576 divisors, whose sum is σ = 16362992701440. Its totient is φ = 925423833600.

The previous prime is 4233968352883. The next prime is 4233968352931. The reversal of 4233968352900 is 92538693324.

It is a happy number.

4233968352900 is a `hidden beast` number, since 4 + 2 + 3 + 39 + 6 + 83 + 529 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16474789 + ... + 16729811.

It is an arithmetic number, because the mean of its divisors is an integer number (28407973440).

Almost surely, 2^{4233968352900} 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 4233968352900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181496350720).

4233968352900 is an abundant number, since it is smaller than the sum of its proper divisors (12129024348540).

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

4233968352900 is a wasteful number, since it uses less digits than its factorization.

4233968352900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255113 (or 255100 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 4233968352900 in words is "four trillion, two hundred thirty-three billion, nine hundred sixty-eight million, three hundred fifty-two thousand, nine hundred".