13422402434340 has 288 divisors, whose sum is σ = 41475567369600. Its totient is φ = 3513016657920.

The previous prime is 13422402434317. The next prime is 13422402434377. The reversal of 13422402434340 is 4343420422431.

13422402434340 is a `hidden beast` number, since 1 + 3 + 42 + 240 + 2 + 4 + 34 + 340 = 666.

It is a super-2 number, since 2×13422402434340² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13422402434295 and 13422402434304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3960577366 + ... + 3960580754.

It is an arithmetic number, because the mean of its divisors is an integer number (144012386700).

Almost surely, 2^{13422402434340} is an apocalyptic number.

13422402434340 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 13422402434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20737783684800).

13422402434340 is an abundant number, since it is smaller than the sum of its proper divisors (28053164935260).

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

13422402434340 is a wasteful number, since it uses less digits than its factorization.

13422402434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13422402434340 its reverse (4343420422431), we get a palindrome (17765822856771).

The spelling of 13422402434340 in words is "thirteen trillion, four hundred twenty-two billion, four hundred two million, four hundred thirty-four thousand, three hundred forty".