42440011200 has 504 divisors, whose sum is σ = 159844404720. Its totient is φ = 10650009600.

The previous prime is 42440011193. The next prime is 42440011223. The reversal of 42440011200 is 211004424.

42440011200 is a `hidden beast` number, since 424 + 40 + 0 + 1 + 1 + 200 = 666.

42440011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42440011200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49521172 + ... + 49522028.

Almost surely, 2^42440011200 is an apocalyptic number.

42440011200 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 42440011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79922202360).

42440011200 is an abundant number, since it is smaller than the sum of its proper divisors (117404393520).

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

42440011200 is a wasteful number, since it uses less digits than its factorization.

42440011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42440011200 its reverse (211004424), we get a palindrome (42651015624).

It can be divided in two parts, 424400 and 11200, that added together give a square (435600 = 660²).

The spelling of 42440011200 in words is "forty-two billion, four hundred forty million, eleven thousand, two hundred".