214032202420 has 48 divisors (see below), whose sum is σ = 460967774400. Its totient is φ = 83427252480.

The previous prime is 214032202337. The next prime is 214032202429. The reversal of 214032202420 is 24202230412.

It is a junction number, because it is equal to n+sod(n) for n = 214032202391 and 214032202400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214032202429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552451 + ... + 856309.

It is an arithmetic number, because the mean of its divisors is an integer number (9603495300).

Almost surely, 2^214032202420 is an apocalyptic number.

214032202420 is a gapful number since it is divisible by the number (20) 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 214032202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230483887200).

214032202420 is an abundant number, since it is smaller than the sum of its proper divisors (246935571980).

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

214032202420 is a wasteful number, since it uses less digits than its factorization.

214032202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304768 (or 304766 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 214032202420 its reverse (24202230412), we get a palindrome (238234432832).

The spelling of 214032202420 in words is "two hundred fourteen billion, thirty-two million, two hundred two thousand, four hundred twenty".