410013442413340 has 192 divisors, whose sum is σ = 989327954885760. Its totient is φ = 141758493327360.

The previous prime is 410013442413331. The next prime is 410013442413373. The reversal of 410013442413340 is 43314244310014.

It is a super-3 number, since 3×410013442413340³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 410013442413296 and 410013442413305.

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, 36652962 + ... + 46513078.

It is an arithmetic number, because the mean of its divisors is an integer number (5152749765030).

Almost surely, 2^{410013442413340} 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 410013442413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494663977442880).

410013442413340 is an abundant number, since it is smaller than the sum of its proper divisors (579314512472420).

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

410013442413340 is a wasteful number, since it uses less digits than its factorization.

410013442413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860360 (or 9860358 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 410013442413340 its reverse (43314244310014), we get a palindrome (453327686723354).

The spelling of 410013442413340 in words is "four hundred ten trillion, thirteen billion, four hundred forty-two million, four hundred thirteen thousand, three hundred forty".