23211314440340 has 72 divisors (see below), whose sum is σ = 52831088031960. Its totient is φ = 8562313004544.

The previous prime is 23211314440337. The next prime is 23211314440367. The reversal of 23211314440340 is 4304441311232.

It can be written as a sum of positive squares in 12 ways, for example, as 16480579498384 + 6730734941956 = 4059628^2 + 2594366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23211314440297 and 23211314440306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401222 + ... + 6825218.

It is an arithmetic number, because the mean of its divisors is an integer number (733765111555).

Almost surely, 2^{23211314440340} is an apocalyptic number.

23211314440340 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 23211314440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26415544015980).

23211314440340 is an abundant number, since it is smaller than the sum of its proper divisors (29619773591620).

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

23211314440340 is a wasteful number, since it uses less digits than its factorization.

23211314440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425101 (or 6425086 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 23211314440340 its reverse (4304441311232), we get a palindrome (27515755751572).

The spelling of 23211314440340 in words is "twenty-three trillion, two hundred eleven billion, three hundred fourteen million, four hundred forty thousand, three hundred forty".