4000108000 has 384 divisors, whose sum is σ = 12101806080. Its totient is φ = 1269043200.

The previous prime is 4000107989. The next prime is 4000108027. The reversal of 4000108000 is 8010004.

4000108000 is a modest number, since divided by 108000 gives 4000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38835949 + ... + 38836051.

It is an arithmetic number, because the mean of its divisors is an integer number (31515120).

Almost surely, 2^4000108000 is an apocalyptic number.

4000108000 is a gapful number since it is divisible by the number (40) 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 4000108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050903040).

4000108000 is an abundant number, since it is smaller than the sum of its proper divisors (8101698080).

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

4000108000 is a wasteful number, since it uses less digits than its factorization.

4000108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

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

The square root of 4000108000 is about 63246.4070125727. The cubic root of 4000108000 is about 1587.4153384491.

Adding to 4000108000 its reverse (8010004), we get a palindrome (4008118004).

The spelling of 4000108000 in words is "four billion, one hundred eight thousand".