410120242144340 has 192 divisors, whose sum is σ = 1066570336581120. Its totient is φ = 128992239452160.

The previous prime is 410120242144339. The next prime is 410120242144387. The reversal of 410120242144340 is 43441242021014.

It is a super-2 number, since 2×410120242144340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 410120242144297 and 410120242144306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6811580156 + ... + 6811640364.

It is an arithmetic number, because the mean of its divisors is an integer number (5555053836360).

Almost surely, 2^{410120242144340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410120242144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533285168290560).

410120242144340 is an abundant number, since it is smaller than the sum of its proper divisors (656450094436780).

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

410120242144340 is a wasteful number, since it uses less digits than its factorization.

410120242144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83362 (or 83360 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 410120242144340 its reverse (43441242021014), we get a palindrome (453561484165354).

The spelling of 410120242144340 in words is "four hundred ten trillion, one hundred twenty billion, two hundred forty-two million, one hundred forty-four thousand, three hundred forty".