13214333120040 has 192 divisors, whose sum is σ = 46323472890240. Its totient is φ = 3247603269120.

The previous prime is 13214333120029. The next prime is 13214333120041. The reversal of 13214333120040 is 4002133341231.

It is a happy number.

13214333120040 is a `hidden beast` number, since 1 + 3 + 21 + 433 + 3 + 1 + 200 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13214333119986 and 13214333120013.

It is not an unprimeable number, because it can be changed into a prime (13214333120041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715699 + ... + 5190461.

It is an arithmetic number, because the mean of its divisors is an integer number (241268087970).

Almost surely, 2^{13214333120040} is an apocalyptic number.

13214333120040 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 13214333120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23161736445120).

13214333120040 is an abundant number, since it is smaller than the sum of its proper divisors (33109139770200).

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

13214333120040 is a wasteful number, since it uses less digits than its factorization.

13214333120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475424 (or 4475417 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13214333120040 its reverse (4002133341231), we get a palindrome (17216466461271).

The spelling of 13214333120040 in words is "thirteen trillion, two hundred fourteen billion, three hundred thirty-three million, one hundred twenty thousand, forty".