41430033200 has 120 divisors (see below), whose sum is σ = 101001868800. Its totient is φ = 16328782080.

The previous prime is 41430033179. The next prime is 41430033223. The reversal of 41430033200 is 233003414.

It is a super-3 number, since 3×41430033200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20317781 + ... + 20319819.

It is an arithmetic number, because the mean of its divisors is an integer number (841682240).

Almost surely, 2^41430033200 is an apocalyptic number.

41430033200 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 41430033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50500934400).

41430033200 is an abundant number, since it is smaller than the sum of its proper divisors (59571835600).

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

41430033200 is a wasteful number, since it uses less digits than its factorization.

41430033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 41430033200 its reverse (233003414), we get a palindrome (41663036614).

The spelling of 41430033200 in words is "forty-one billion, four hundred thirty million, thirty-three thousand, two hundred".