40113442200 has 384 divisors, whose sum is σ = 143653305600. Its totient is φ = 9176094720.

The previous prime is 40113442183. The next prime is 40113442211. The reversal of 40113442200 is 224431104.

40113442200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7852047 + ... + 7857153.

It is an arithmetic number, because the mean of its divisors is an integer number (374097150).

Almost surely, 2^40113442200 is an apocalyptic number.

40113442200 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 40113442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71826652800).

40113442200 is an abundant number, since it is smaller than the sum of its proper divisors (103539863400).

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

40113442200 is a wasteful number, since it uses less digits than its factorization.

40113442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40113442200 its reverse (224431104), we get a palindrome (40337873304).

The spelling of 40113442200 in words is "forty billion, one hundred thirteen million, four hundred forty-two thousand, two hundred".