214233102420 has 96 divisors (see below), whose sum is σ = 615802352256. Its totient is φ = 55615795200.

The previous prime is 214233102403. The next prime is 214233102449. The reversal of 214233102420 is 24201332412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1055580 + ... + 1242060.

It is an arithmetic number, because the mean of its divisors is an integer number (6414607836).

Almost surely, 2^214233102420 is an apocalyptic number.

214233102420 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 214233102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307901176128).

214233102420 is an abundant number, since it is smaller than the sum of its proper divisors (401569249836).

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

214233102420 is a wasteful number, since it uses less digits than its factorization.

214233102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187001 (or 186999 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214233102420 its reverse (24201332412), we get a palindrome (238434434832).

The spelling of 214233102420 in words is "two hundred fourteen billion, two hundred thirty-three million, one hundred two thousand, four hundred twenty".