213432223440 has 160 divisors (see below), whose sum is σ = 677556633600. Its totient is φ = 55548154368.

The previous prime is 213432223409. The next prime is 213432223451. The reversal of 213432223440 is 44322234312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213432223398 and 213432223407.

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, 14430289 + ... + 14445071.

It is an arithmetic number, because the mean of its divisors is an integer number (4234728960).

Almost surely, 2^213432223440 is an apocalyptic number.

213432223440 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 213432223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338778316800).

213432223440 is an abundant number, since it is smaller than the sum of its proper divisors (464124410160).

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

213432223440 is a wasteful number, since it uses less digits than its factorization.

213432223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16241 (or 16235 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 213432223440 its reverse (44322234312), we get a palindrome (257754457752).

The spelling of 213432223440 in words is "two hundred thirteen billion, four hundred thirty-two million, two hundred twenty-three thousand, four hundred forty".