4011316000 has 96 divisors (see below), whose sum is σ = 9954388080. Its totient is φ = 1588480000.

The previous prime is 4011315977. The next prime is 4011316079. The reversal of 4011316000 is 6131104.

It can be written as a sum of positive squares in 8 ways, for example, as 388720656 + 3622595344 = 19716^2 + 60188^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399036 + ... + 408964.

Almost surely, 2^4011316000 is an apocalyptic number.

4011316000 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 4011316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977194040).

4011316000 is an abundant number, since it is smaller than the sum of its proper divisors (5943072080).

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

4011316000 is a wasteful number, since it uses less digits than its factorization.

4011316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 4011316000 is about 63334.9508565373. The cubic root of 4011316000 is about 1588.8965617798.

Adding to 4011316000 its reverse (6131104), we get a palindrome (4017447104).

The spelling of 4011316000 in words is "four billion, eleven million, three hundred sixteen thousand".