4100104008 has 768 divisors, whose sum is σ = 16144128000. Its totient is φ = 960180480.

The previous prime is 4100103991. The next prime is 4100104027. The reversal of 4100104008 is 8004010014.

4100104008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95351235 + ... + 95351277.

It is an arithmetic number, because the mean of its divisors is an integer number (21021000).

Almost surely, 2^4100104008 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 4100104008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072064000).

4100104008 is an abundant number, since it is smaller than the sum of its proper divisors (12044023992).

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

4100104008 is a wasteful number, since it uses less digits than its factorization.

4100104008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4100104008 is about 64032.0545352092. The cubic root of 4100104008 is about 1600.5341976674.

The spelling of 4100104008 in words is "four billion, one hundred million, one hundred four thousand, eight".