40210100 has 144 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 12441600.

The previous prime is 40210091. The next prime is 40210103. The reversal of 40210100 is 101204.

40210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368846 + ... + 368954.

It is an arithmetic number, because the mean of its divisors is an integer number (763840).

Almost surely, 2^40210100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

40210100 is an abundant number, since it is smaller than the sum of its proper divisors (69782860).

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

40210100 is a wasteful number, since it uses less digits than its factorization.

40210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 40210100 is about 6341.1434300132. The cubic root of 40210100 is about 342.5929206032.

Adding to 40210100 its reverse (101204), we get a palindrome (40311304).

The spelling of 40210100 in words is "forty million, two hundred ten thousand, one hundred".