40105008 has 60 divisors (see below), whose sum is σ = 117127920. Its totient is φ = 12786048.

The previous prime is 40105001. The next prime is 40105049. The reversal of 40105008 is 80050104.

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 (40105001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2743 + ... + 9366.

It is an arithmetic number, because the mean of its divisors is an integer number (1952132).

Almost surely, 2^40105008 is an apocalyptic number.

40105008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40105008 is an abundant number, since it is smaller than the sum of its proper divisors (77022912).

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

40105008 is a wasteful number, since it uses less digits than its factorization.

40105008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146 (or 12137 counting only the distinct ones).

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

The square root of 40105008 is about 6332.8514904425. The cubic root of 40105008 is about 342.2941964270.

The spelling of 40105008 in words is "forty million, one hundred five thousand, eight".