40005108 has 144 divisors (see below), whose sum is σ = 125361600. Its totient is φ = 10575360.

The previous prime is 40005107. The next prime is 40005109. The reversal of 40005108 is 80150004.

It is an interprime number because it is at equal distance from previous prime (40005107) and next prime (40005109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40005107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97608 + ... + 98016.

Almost surely, 2^40005108 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 40005108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62680800).

40005108 is an abundant number, since it is smaller than the sum of its proper divisors (85356492).

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

40005108 is a wasteful number, since it uses less digits than its factorization.

40005108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 40005108 is about 6324.9591303027. The cubic root of 40005108 is about 342.0097463109.

Subtracting 40005108 from its reverse (80150004), we obtain a square (40144896 = 6336²).

The spelling of 40005108 in words is "forty million, five thousand, one hundred eight".