214000000411032 has 288 divisors, whose sum is σ = 673945579223280. Its totient is φ = 60825542430720.

The previous prime is 214000000411003. The next prime is 214000000411037. The reversal of 214000000411032 is 230114000000412.

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 = 214000000410996 and 214000000411014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214000000411037) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 65468698 + ... + 68659670.

Almost surely, 2^{214000000411032} is an apocalyptic number.

214000000411032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214000000411032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336972789611640).

214000000411032 is an abundant number, since it is smaller than the sum of its proper divisors (459945578812248).

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

214000000411032 is a wasteful number, since it uses less digits than its factorization.

214000000411032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191323 (or 3191299 counting only the distinct ones).

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

Adding to 214000000411032 its reverse (230114000000412), we get a palindrome (444114000411444).

The spelling of 214000000411032 in words is "two hundred fourteen trillion, four hundred eleven thousand, thirty-two".