213023240424432 has 240 divisors, whose sum is σ = 648377795763360. Its totient is φ = 65016625840128.

The previous prime is 213023240424409. The next prime is 213023240424439. The reversal of 213023240424432 is 234424042320312.

213023240424432 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 3 + 2 + 404 + 244 + 3 + 2 = 666.

213023240424432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213023240424439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762419668 + ... + 762699020.

It is an arithmetic number, because the mean of its divisors is an integer number (2701574149014).

Almost surely, 2^{213023240424432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213023240424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324188897881680).

213023240424432 is an abundant number, since it is smaller than the sum of its proper divisors (435354555338928).

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

213023240424432 is a wasteful number, since it uses less digits than its factorization.

213023240424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287840 (or 287831 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 213023240424432 its reverse (234424042320312), we get a palindrome (447447282744744).

The spelling of 213023240424432 in words is "two hundred thirteen trillion, twenty-three billion, two hundred forty million, four hundred twenty-four thousand, four hundred thirty-two".