42263443200 has 432 divisors, whose sum is σ = 153801156096. Its totient is φ = 10135142400.

The previous prime is 42263443151. The next prime is 42263443247. The reversal of 42263443200 is 234436224.

It is a super-2 number, since 2×42263443200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20485369 + ... + 20487431.

Almost surely, 2^42263443200 is an apocalyptic number.

42263443200 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 42263443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76900578048).

42263443200 is an abundant number, since it is smaller than the sum of its proper divisors (111537712896).

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

42263443200 is a wasteful number, since it uses less digits than its factorization.

42263443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 42263443200 its reverse (234436224), we get a palindrome (42497879424).

The spelling of 42263443200 in words is "forty-two billion, two hundred sixty-three million, four hundred forty-three thousand, two hundred".