40109908608 has 768 divisors, whose sum is σ = 150486785280. Its totient is φ = 10036224000.

The previous prime is 40109908583. The next prime is 40109908687. The reversal of 40109908608 is 80680990104.

It is a super-2 number, since 2×40109908608² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 397127758 + ... + 397127858.

It is an arithmetic number, because the mean of its divisors is an integer number (195946335).

Almost surely, 2^40109908608 is an apocalyptic number.

40109908608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40109908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75243392640).

40109908608 is an abundant number, since it is smaller than the sum of its proper divisors (110376876672).

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

40109908608 is a wasteful number, since it uses less digits than its factorization.

40109908608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 40109908608 in words is "forty billion, one hundred nine million, nine hundred eight thousand, six hundred eight".