40525200 has 90 divisors (see below), whose sum is σ = 140646194. Its totient is φ = 10805760.

The previous prime is 40525193. The next prime is 40525207. The reversal of 40525200 is 252504.

It is an interprime number because it is at equal distance from previous prime (40525193) and next prime (40525207).

It can be written as a sum of positive squares in 3 ways, for example, as 7485696 + 33039504 = 2736^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40525207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2029 + ... + 9228.

Almost surely, 2^40525200 is an apocalyptic number.

40525200 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 40525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70323097).

40525200 is an abundant number, since it is smaller than the sum of its proper divisors (100120994).

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

40525200 is a wasteful number, since it uses less digits than its factorization.

40525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11281 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40525200 is about 6365.9406217777. The cubic root of 40525200 is about 343.4854846621.

Adding to 40525200 its reverse (252504), we get a palindrome (40777704).

The spelling of 40525200 in words is "forty million, five hundred twenty-five thousand, two hundred".