213340831440 has 160 divisors (see below), whose sum is σ = 721722949632. Its totient is φ = 51701568000.

The previous prime is 213340831421. The next prime is 213340831463. The reversal of 213340831440 is 44138043312.

213340831440 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8940325 + ... + 8964155.

Almost surely, 2^213340831440 is an apocalyptic number.

213340831440 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 213340831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360861474816).

213340831440 is an abundant number, since it is smaller than the sum of its proper divisors (508382118192).

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

213340831440 is a wasteful number, since it uses less digits than its factorization.

213340831440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27249 (or 27243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 213340831440 its reverse (44138043312), we get a palindrome (257478874752).

The spelling of 213340831440 in words is "two hundred thirteen billion, three hundred forty million, eight hundred thirty-one thousand, four hundred forty".