213414400440420 has 192 divisors, whose sum is σ = 622401031553280. Its totient is φ = 54588977160192.

The previous prime is 213414400440407. The next prime is 213414400440481. The reversal of 213414400440420 is 24044004414312.

It is a super-3 number, since 3×213414400440420³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356719296 + ... + 357317064.

It is an arithmetic number, because the mean of its divisors is an integer number (3241672039340).

Almost surely, 2^{213414400440420} is an apocalyptic number.

213414400440420 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 213414400440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311200515776640).

213414400440420 is an abundant number, since it is smaller than the sum of its proper divisors (408986631112860).

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

213414400440420 is a wasteful number, since it uses less digits than its factorization.

213414400440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600094 (or 600092 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 213414400440420 its reverse (24044004414312), we get a palindrome (237458404854732).

The spelling of 213414400440420 in words is "two hundred thirteen trillion, four hundred fourteen billion, four hundred million, four hundred forty thousand, four hundred twenty".