42233032800 has 1152 divisors, whose sum is σ = 187537996800. Its totient is φ = 8957952000.

The previous prime is 42233032771. The next prime is 42233032847. The reversal of 42233032800 is 823033224.

42233032800 is a `hidden beast` number, since 4 + 2 + 2 + 330 + 328 + 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 191 ways as a sum of consecutive naturals, for example, 175240680 + ... + 175240920.

It is an arithmetic number, because the mean of its divisors is an integer number (162793400).

Almost surely, 2^42233032800 is an apocalyptic number.

42233032800 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 42233032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93768998400).

42233032800 is an abundant number, since it is smaller than the sum of its proper divisors (145304964000).

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

42233032800 is a wasteful number, since it uses less digits than its factorization.

42233032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 42233032800 in words is "forty-two billion, two hundred thirty-three million, thirty-two thousand, eight hundred".