4001114000 has 80 divisors (see below), whose sum is σ = 10418968560. Its totient is φ = 1477324800.

The previous prime is 4001113997. The next prime is 4001114041. The reversal of 4001114000 is 4111004.

It can be written as a sum of positive squares in 8 ways, for example, as 745726864 + 3255387136 = 27308^2 + 57056^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 50945 + ... + 102944.

It is an arithmetic number, because the mean of its divisors is an integer number (130237107).

Almost surely, 2^4001114000 is an apocalyptic number.

4001114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001114000 is an abundant number, since it is smaller than the sum of its proper divisors (6417854560).

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

4001114000 is a wasteful number, since it uses less digits than its factorization.

4001114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153925 (or 153909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 4001114000 is about 63254.3595335531. The cubic root of 4001114000 is about 1587.5484020210.

Adding to 4001114000 its reverse (4111004), we get a palindrome (4005225004).

The spelling of 4001114000 in words is "four billion, one million, one hundred fourteen thousand".