4002214000032 has 72 divisors (see below), whose sum is σ = 11384231809860. Its totient is φ = 1333727216640.

The previous prime is 4002213999923. The next prime is 4002214000111. The reversal of 4002214000032 is 2300004122004.

4002214000032 is a `hidden beast` number, since 40 + 0 + 221 + 400 + 0 + 0 + 3 + 2 = 666.

4002214000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3825137993616 + 177076006416 = 1955796^2 + 420804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4002213999969 and 4002214000014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672607 + ... + 2908062.

Almost surely, 2^{4002214000032} is an apocalyptic number.

It is an amenable number.

4002214000032 is an abundant number, since it is smaller than the sum of its proper divisors (7382017809828).

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

4002214000032 is a wasteful number, since it uses less digits than its factorization.

4002214000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584566 (or 3584555 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4002214000032 its reverse (2300004122004), we get a palindrome (6302218122036).

The spelling of 4002214000032 in words is "four trillion, two billion, two hundred fourteen million, thirty-two", and thus it is an aban number.