13213222440 has 512 divisors, whose sum is σ = 48460032000. Its totient is φ = 2844979200.

The previous prime is 13213222391. The next prime is 13213222441. The reversal of 13213222440 is 4422231231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13213222440.

It is not an unprimeable number, because it can be changed into a prime (13213222441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26910595 + ... + 26911085.

It is an arithmetic number, because the mean of its divisors is an integer number (94648500).

Almost surely, 2^13213222440 is an apocalyptic number.

13213222440 is a gapful number since it is divisible by the number (10) 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 13213222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24230016000).

13213222440 is an abundant number, since it is smaller than the sum of its proper divisors (35246809560).

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

13213222440 is a wasteful number, since it uses less digits than its factorization.

13213222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13213222440 its reverse (4422231231), we get a palindrome (17635453671).

The spelling of 13213222440 in words is "thirteen billion, two hundred thirteen million, two hundred twenty-two thousand, four hundred forty".