4006110000 has 200 divisors, whose sum is σ = 13251745584. Its totient is φ = 1041920000.

The previous prime is 4006109981. The next prime is 4006110011. The reversal of 4006110000 is 116004.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1228372 + ... + 1231628.

Almost surely, 2^4006110000 is an apocalyptic number.

4006110000 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 4006110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625872792).

4006110000 is an abundant number, since it is smaller than the sum of its proper divisors (9245635584).

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

4006110000 is a wasteful number, since it uses less digits than its factorization.

4006110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4006110000 is about 63293.8385626911. The cubic root of 4006110000 is about 1588.2088924845.

Adding to 4006110000 its reverse (116004), we get a palindrome (4006226004).

The spelling of 4006110000 in words is "four billion, six million, one hundred ten thousand".