40200132006 has 56 divisors (see below), whose sum is σ = 90448591800. Its totient is φ = 13394167776.

The previous prime is 40200131989. The next prime is 40200132023. The reversal of 40200132006 is 60023100204.

It is a happy number.

40200132006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40200131989) and next prime (40200132023).

It is a super-2 number, since 2×40200132006² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 40200132006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4440921 + ... + 4449963.

It is an arithmetic number, because the mean of its divisors is an integer number (1615153425).

Almost surely, 2^40200132006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40200132006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45224295900).

40200132006 is an abundant number, since it is smaller than the sum of its proper divisors (50248459794).

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

40200132006 is an equidigital number, since it uses as much as digits as its factorization.

40200132006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 40200132006 in words is "forty billion, two hundred million, one hundred thirty-two thousand, six".