40145200 has 30 divisors (see below), whose sum is σ = 96449804. Its totient is φ = 16057920.

The previous prime is 40145173. The next prime is 40145207. The reversal of 40145200 is 254104.

It is a super-2 number, since 2×40145200² = 3223274166080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40145207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49782 + ... + 50581.

Almost surely, 2^40145200 is an apocalyptic number.

40145200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40145200 is an abundant number, since it is smaller than the sum of its proper divisors (56304604).

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

40145200 is a wasteful number, since it uses less digits than its factorization.

40145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100381 (or 100370 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 40145200 is about 6336.0239898536. The cubic root of 40145200 is about 342.4085038066.

Adding to 40145200 its reverse (254104), we get a palindrome (40399304).

The spelling of 40145200 in words is "forty million, one hundred forty-five thousand, two hundred".