40100008 has 64 divisors (see below), whose sum is σ = 88194960. Its totient is φ = 16920576.

The previous prime is 40100003. The next prime is 40100041. The reversal of 40100008 is 80000104.

It can be written as a sum of positive squares in 8 ways, for example, as 12830724 + 27269284 = 3582^2 + 5222^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (40100003) 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 15 ways as a sum of consecutive naturals, for example, 65110 + ... + 65722.

Almost surely, 2^40100008 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 40100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44097480).

40100008 is an abundant number, since it is smaller than the sum of its proper divisors (48094952).

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

40100008 is a wasteful number, since it uses less digits than its factorization.

40100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 40100008 is about 6332.4567112614. The cubic root of 40100008 is about 342.2799709209.

The spelling of 40100008 in words is "forty million, one hundred thousand, eight".