40115200 has 66 divisors (see below), whose sum is σ = 99500576. Its totient is φ = 16035840.

The previous prime is 40115183. The next prime is 40115203. The reversal of 40115200 is 251104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40115203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24817 + ... + 26383.

Almost surely, 2^40115200 is an apocalyptic number.

40115200 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 40115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49750288).

40115200 is an abundant number, since it is smaller than the sum of its proper divisors (59385376).

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

40115200 is a wasteful number, since it uses less digits than its factorization.

40115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 40115200 is about 6333.6561321246. The cubic root of 40115200 is about 342.3231900377.

Adding to 40115200 its reverse (251104), we get a palindrome (40366304).

The spelling of 40115200 in words is "forty million, one hundred fifteen thousand, two hundred".