214421043100032 has 128 divisors (see below), whose sum is σ = 670065759871200. Its totient is φ = 67269346836480.

The previous prime is 214421043100031. The next prime is 214421043100039. The reversal of 214421043100032 is 230001340124412.

214421043100032 is a `hidden beast` number, since 2 + 14 + 4 + 210 + 431 + 0 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214421043099969 and 214421043100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214421043100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1824739069 + ... + 1824856572.

Almost surely, 2^{214421043100032} is an apocalyptic number.

It is an amenable number.

214421043100032 is an abundant number, since it is smaller than the sum of its proper divisors (455644716771168).

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

214421043100032 is a wasteful number, since it uses less digits than its factorization.

214421043100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649595681 (or 3649595663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214421043100032 its reverse (230001340124412), we get a palindrome (444422383224444).

The spelling of 214421043100032 in words is "two hundred fourteen trillion, four hundred twenty-one billion, forty-three million, one hundred thousand, thirty-two".