40616100 has 216 divisors, whose sum is σ = 152386080. Its totient is φ = 9253440.

The previous prime is 40616089. The next prime is 40616101. The reversal of 40616100 is 161604.

40616100 is a `hidden beast` number, since 40 + 616 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40616101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132147 + ... + 132453.

Almost surely, 2^40616100 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 40616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76193040).

40616100 is an abundant number, since it is smaller than the sum of its proper divisors (111769980).

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

40616100 is a wasteful number, since it uses less digits than its factorization.

40616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40616100 is about 6373.0761803073. The cubic root of 40616100 is about 343.7421111137.

Adding to 40616100 its reverse (161604), we get a palindrome (40777704).

The spelling of 40616100 in words is "forty million, six hundred sixteen thousand, one hundred".