40282688200 has 48 divisors (see below), whose sum is σ = 93672190980. Its totient is φ = 16110504960.

The previous prime is 40282688191. The next prime is 40282688203. The reversal of 40282688200 is 288628204.

It can be written as a sum of positive squares in 6 ways, for example, as 13320391396 + 26962296804 = 115414^2 + 164202^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40282688203) 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, 1695604 + ... + 1719196.

Almost surely, 2^40282688200 is an apocalyptic number.

40282688200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40282688200 is an abundant number, since it is smaller than the sum of its proper divisors (53389502780).

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

40282688200 is a wasteful number, since it uses less digits than its factorization.

40282688200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32146 (or 32137 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 40282688200 in words is "forty billion, two hundred eighty-two million, six hundred eighty-eight thousand, two hundred".