40115440200 has 192 divisors, whose sum is σ = 137575480320. Its totient is φ = 9587872000.

The previous prime is 40115440177. The next prime is 40115440207. The reversal of 40115440200 is 204451104.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40115440207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425797 + ... + 511403.

It is an arithmetic number, because the mean of its divisors is an integer number (716538960).

Almost surely, 2^40115440200 is an apocalyptic number.

40115440200 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 40115440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68787740160).

40115440200 is an abundant number, since it is smaller than the sum of its proper divisors (97460040120).

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

40115440200 is a wasteful number, since it uses less digits than its factorization.

40115440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85708 (or 85699 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 40115440200 its reverse (204451104), we get a palindrome (40319891304).

The spelling of 40115440200 in words is "forty billion, one hundred fifteen million, four hundred forty thousand, two hundred".