40225200 has 60 divisors (see below), whose sum is σ = 128858568. Its totient is φ = 10726400.

The previous prime is 40225193. The next prime is 40225201. The reversal of 40225200 is 252204.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40225200.

It is not an unprimeable number, because it can be changed into a prime (40225201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15561 + ... + 17960.

Almost surely, 2^40225200 is an apocalyptic number.

40225200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40225200 is an abundant number, since it is smaller than the sum of its proper divisors (88633368).

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

40225200 is a wasteful number, since it uses less digits than its factorization.

40225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33542 (or 33531 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 40225200 is about 6342.3339552565. Note that the first 3 decimals coincide. The cubic root of 40225200 is about 342.6357995953.

Adding to 40225200 its reverse (252204), we get a palindrome (40477404).

The spelling of 40225200 in words is "forty million, two hundred twenty-five thousand, two hundred".