213704101440340 has 144 divisors (see below), whose sum is σ = 522741492111888. Its totient is φ = 73172791566336.

The previous prime is 213704101440329. The next prime is 213704101440493. The reversal of 213704101440340 is 43044101407312.

213704101440340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7693999725636 + 206010101714704 = 2773806^2 + 14353052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213704101440296 and 213704101440305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2348944932 + ... + 2349035908.

It is an arithmetic number, because the mean of its divisors is an integer number (3630149250777).

Almost surely, 2^{213704101440340} is an apocalyptic number.

213704101440340 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 213704101440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261370746055944).

213704101440340 is an abundant number, since it is smaller than the sum of its proper divisors (309037390671548).

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

213704101440340 is a wasteful number, since it uses less digits than its factorization.

213704101440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94154 (or 94145 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 213704101440340 its reverse (43044101407312), we get a palindrome (256748202847652).

The spelling of 213704101440340 in words is "two hundred thirteen trillion, seven hundred four billion, one hundred one million, four hundred forty thousand, three hundred forty".