213021302430440 has 128 divisors (see below), whose sum is σ = 562738558671360. Its totient is φ = 71041099797504.

The previous prime is 213021302430373. The next prime is 213021302430449. The reversal of 213021302430440 is 44034203120312.

It is not an unprimeable number, because it can be changed into a prime (213021302430449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32346389 + ... + 38370971.

It is an arithmetic number, because the mean of its divisors is an integer number (4396394989620).

Almost surely, 2^{213021302430440} is an apocalyptic number.

213021302430440 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 213021302430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281369279335680).

213021302430440 is an abundant number, since it is smaller than the sum of its proper divisors (349717256240920).

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

213021302430440 is a wasteful number, since it uses less digits than its factorization.

213021302430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028051 (or 6028047 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 213021302430440 its reverse (44034203120312), we get a palindrome (257055505550752).

The spelling of 213021302430440 in words is "two hundred thirteen trillion, twenty-one billion, three hundred two million, four hundred thirty thousand, four hundred forty".