40145220200 has 48 divisors (see below), whose sum is σ = 93403709280. Its totient is φ = 16046720960.

The previous prime is 40145220161. The next prime is 40145220221. The reversal of 40145220200 is 202254104.

It is a happy number.

40145220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40145220200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215069 + ... + 355731.

It is an arithmetic number, because the mean of its divisors is an integer number (1945910610).

Almost surely, 2^40145220200 is an apocalyptic number.

40145220200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40145220200 is an abundant number, since it is smaller than the sum of its proper divisors (53258489080).

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

40145220200 is a wasteful number, since it uses less digits than its factorization.

40145220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142106 (or 142097 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 40145220200 its reverse (202254104), we get a palindrome (40347474304).

The spelling of 40145220200 in words is "forty billion, one hundred forty-five million, two hundred twenty thousand, two hundred".