40787200 has 54 divisors (see below), whose sum is σ = 100970534. Its totient is φ = 16312320.

The previous prime is 40787171. The next prime is 40787203. The reversal of 40787200 is 278704.

It can be written as a sum of positive squares in 3 ways, for example, as 7054336 + 33732864 = 2656^2 + 5808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40787203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3214 + ... + 9586.

Almost surely, 2^40787200 is an apocalyptic number.

40787200 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 40787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50485267).

40787200 is an abundant number, since it is smaller than the sum of its proper divisors (60183334).

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

40787200 is an equidigital number, since it uses as much as digits as its factorization.

40787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 40787200 is about 6386.4857316055. The cubic root of 40787200 is about 344.2241193211.

The spelling of 40787200 in words is "forty million, seven hundred eighty-seven thousand, two hundred".