40103211200 has 168 divisors, whose sum is σ = 106820006832. Its totient is φ = 14730670080.

The previous prime is 40103211193. The next prime is 40103211209. The reversal of 40103211200 is 211230104.

It is not an unprimeable number, because it can be changed into a prime (40103211209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4092707 + ... + 4102493.

It is an arithmetic number, because the mean of its divisors is an integer number (635833374).

Almost surely, 2^40103211200 is an apocalyptic number.

40103211200 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 40103211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53410003416).

40103211200 is an abundant number, since it is smaller than the sum of its proper divisors (66716795632).

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

40103211200 is a wasteful number, since it uses less digits than its factorization.

40103211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 40103211200 its reverse (211230104), we get a palindrome (40314441304).

The spelling of 40103211200 in words is "forty billion, one hundred three million, two hundred eleven thousand, two hundred".