214403242020 has 288 divisors, whose sum is σ = 667696635648. Its totient is φ = 51363840000.

The previous prime is 214403241991. The next prime is 214403242043. The reversal of 214403242020 is 20242304412.

It is a super-3 number, since 3×214403242020³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281738440 + ... + 281739200.

It is an arithmetic number, because the mean of its divisors is an integer number (2318391096).

Almost surely, 2^214403242020 is an apocalyptic number.

214403242020 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 214403242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333848317824).

214403242020 is an abundant number, since it is smaller than the sum of its proper divisors (453293393628).

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

214403242020 is a wasteful number, since it uses less digits than its factorization.

214403242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214403242020 its reverse (20242304412), we get a palindrome (234645546432).

The spelling of 214403242020 in words is "two hundred fourteen billion, four hundred three million, two hundred forty-two thousand, twenty".