40334113200 has 240 divisors, whose sum is σ = 131005365120. Its totient is φ = 10606632960.

The previous prime is 40334113151. The next prime is 40334113207. The reversal of 40334113200 is 231143304.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (40334113207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48771187 + ... + 48772013.

It is an arithmetic number, because the mean of its divisors is an integer number (545855688).

Almost surely, 2^40334113200 is an apocalyptic number.

40334113200 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 40334113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65502682560).

40334113200 is an abundant number, since it is smaller than the sum of its proper divisors (90671251920).

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

40334113200 is a wasteful number, since it uses less digits than its factorization.

40334113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 40334113200 its reverse (231143304), we get a palindrome (40565256504).

The spelling of 40334113200 in words is "forty billion, three hundred thirty-four million, one hundred thirteen thousand, two hundred".