4002114000 has 80 divisors (see below), whose sum is σ = 12902834880. Its totient is φ = 1067228800.

The previous prime is 4002113959. The next prime is 4002114029. The reversal of 4002114000 is 4112004.

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

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

It is a congruent number.

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, 327510 + ... + 339509.

It is an arithmetic number, because the mean of its divisors is an integer number (161285436).

Almost surely, 2^4002114000 is an apocalyptic number.

4002114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002114000 is an abundant number, since it is smaller than the sum of its proper divisors (8900720880).

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

4002114000 is a wasteful number, since it uses less digits than its factorization.

4002114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667045 (or 667029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4002114000 is about 63262.2636332277. The cubic root of 4002114000 is about 1587.6806498701.

Adding to 4002114000 its reverse (4112004), we get a palindrome (4006226004).

The spelling of 4002114000 in words is "four billion, two million, one hundred fourteen thousand".