4142014000 has 40 divisors (see below), whose sum is σ = 10015394688. Its totient is φ = 1656804800.

The previous prime is 4142013961. The next prime is 4142014031. The reversal of 4142014000 is 4102414.

4142014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033504 + ... + 1037503.

Almost surely, 2^4142014000 is an apocalyptic number.

4142014000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142014000 is an abundant number, since it is smaller than the sum of its proper divisors (5873380688).

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

4142014000 is a wasteful number, since it uses less digits than its factorization.

4142014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071030 (or 2071014 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4142014000 is about 64358.4804046833. The cubic root of 4142014000 is about 1605.9691096385.

Adding to 4142014000 its reverse (4102414), we get a palindrome (4146116414).

The spelling of 4142014000 in words is "four billion, one hundred forty-two million, fourteen thousand".