4231612800 has 768 divisors, whose sum is σ = 17029267200. Its totient is φ = 1021870080.

The previous prime is 4231612793. The next prime is 4231612811. The reversal of 4231612800 is 82161324.

4231612800 is a `hidden beast` number, since 42 + 3 + 1 + 612 + 8 + 0 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63158367 + ... + 63158433.

It is an arithmetic number, because the mean of its divisors is an integer number (22173525).

Almost surely, 2^4231612800 is an apocalyptic number.

4231612800 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 4231612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514633600).

4231612800 is an abundant number, since it is smaller than the sum of its proper divisors (12797654400).

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

4231612800 is a wasteful number, since it uses less digits than its factorization.

4231612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4231612800 is about 65050.8478038526. The cubic root of 4231612800 is about 1617.4665476464.

The spelling of 4231612800 in words is "four billion, two hundred thirty-one million, six hundred twelve thousand, eight hundred".