4011463008 has 288 divisors, whose sum is σ = 14329526400. Its totient is φ = 1085591808.

The previous prime is 4011463007. The next prime is 4011463013. The reversal of 4011463008 is 8003641104.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011463007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801891 + ... + 806877.

It is an arithmetic number, because the mean of its divisors is an integer number (49755300).

Almost surely, 2^4011463008 is an apocalyptic number.

4011463008 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 4011463008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164763200).

4011463008 is an abundant number, since it is smaller than the sum of its proper divisors (10318063392).

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

4011463008 is a wasteful number, since it uses less digits than its factorization.

4011463008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4011463008 is about 63336.1114057376. Note that the first 3 decimals coincide. The cubic root of 4011463008 is about 1588.9159716736.

The spelling of 4011463008 in words is "four billion, eleven million, four hundred sixty-three thousand, eight".