20413144434340 has 384 divisors, whose sum is σ = 57159139000320. Its totient is φ = 5954018918400.

The previous prime is 20413144434337. The next prime is 20413144434341. The reversal of 20413144434340 is 4343444131402.

It is a happy number.

It is a super-2 number, since 2×20413144434340² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20413144434340.

It is not an unprimeable number, because it can be changed into a prime (20413144434341) 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, 99426672 + ... + 99631768.

It is an arithmetic number, because the mean of its divisors is an integer number (148851924480).

Almost surely, 2^{20413144434340} is an apocalyptic number.

20413144434340 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 20413144434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28579569500160).

20413144434340 is an abundant number, since it is smaller than the sum of its proper divisors (36745994565980).

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

20413144434340 is a wasteful number, since it uses less digits than its factorization.

20413144434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205251 (or 205249 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 20413144434340 its reverse (4343444131402), we get a palindrome (24756588565742).

The spelling of 20413144434340 in words is "twenty trillion, four hundred thirteen billion, one hundred forty-four million, four hundred thirty-four thousand, three hundred forty".