4200231023352 has 480 divisors, whose sum is σ = 14805908092800. Its totient is φ = 1088966032128.

The previous prime is 4200231023347. The next prime is 4200231023371. The reversal of 4200231023352 is 2533201320024.

4200231023352 is a `hidden beast` number, since 4 + 200 + 2 + 3 + 102 + 3 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45182023 + ... + 45274889.

It is an arithmetic number, because the mean of its divisors is an integer number (30845641860).

Almost surely, 2^{4200231023352} is an apocalyptic number.

4200231023352 is a gapful number since it is divisible by the number (42) 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 4200231023352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402954046400).

4200231023352 is an abundant number, since it is smaller than the sum of its proper divisors (10605677069448).

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

4200231023352 is a wasteful number, since it uses less digits than its factorization.

4200231023352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92977 (or 92951 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 4200231023352 its reverse (2533201320024), we get a palindrome (6733432343376).

The spelling of 4200231023352 in words is "four trillion, two hundred billion, two hundred thirty-one million, twenty-three thousand, three hundred fifty-two".