13214122440 has 128 divisors (see below), whose sum is σ = 42068315520. Its totient is φ = 3309056000.

The previous prime is 13214122433. The next prime is 13214122447. The reversal of 13214122440 is 4422141231.

It is an interprime number because it is at equal distance from previous prime (13214122433) and next prime (13214122447).

It is a super-2 number, since 2×13214122440² (a number of 21 digits) contains 22 as substring.

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 13214122440.

It is not an unprimeable number, because it can be changed into a prime (13214122447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933415 + ... + 947465.

It is an arithmetic number, because the mean of its divisors is an integer number (328658715).

Almost surely, 2^13214122440 is an apocalyptic number.

13214122440 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 13214122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034157760).

13214122440 is an abundant number, since it is smaller than the sum of its proper divisors (28854193080).

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

13214122440 is a wasteful number, since it uses less digits than its factorization.

13214122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14543 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13214122440 its reverse (4422141231), we get a palindrome (17636263671).

The spelling of 13214122440 in words is "thirteen billion, two hundred fourteen million, one hundred twenty-two thousand, four hundred forty".