214041100032 has 216 divisors, whose sum is σ = 644610998304. Its totient is φ = 68176576512.

The previous prime is 214041099991. The next prime is 214041100067. The reversal of 214041100032 is 230001140412.

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 = 214041099978 and 214041100014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94165648 + ... + 94167920.

Almost surely, 2^214041100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214041100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322305499152).

214041100032 is an abundant number, since it is smaller than the sum of its proper divisors (430569898272).

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

214041100032 is a wasteful number, since it uses less digits than its factorization.

214041100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 214041100032 its reverse (230001140412), we get a palindrome (444042240444).

The spelling of 214041100032 in words is "two hundred fourteen billion, forty-one million, one hundred thousand, thirty-two".