40212733600 has 72 divisors (see below), whose sum is σ = 105720850620. Its totient is φ = 14847774720.

The previous prime is 40212733591. The next prime is 40212733609. The reversal of 40212733600 is 633721204.

It is an interprime number because it is at equal distance from previous prime (40212733591) and next prime (40212733609).

It can be written as a sum of positive squares in 6 ways, for example, as 4344919056 + 35867814544 = 65916^2 + 189388^2 .

It is not an unprimeable number, because it can be changed into a prime (40212733609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1922905 + ... + 1943704.

Almost surely, 2^40212733600 is an apocalyptic number.

40212733600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40212733600 is an abundant number, since it is smaller than the sum of its proper divisors (65508117020).

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

40212733600 is a wasteful number, since it uses less digits than its factorization.

40212733600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866642 (or 3866629 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 40212733600 in words is "forty billion, two hundred twelve million, seven hundred thirty-three thousand, six hundred".