410341034100040 has 128 divisors (see below), whose sum is σ = 949521591296640. Its totient is φ = 159481226612736.

The previous prime is 410341034100037. The next prime is 410341034100071. The reversal of 410341034100040 is 40001430143014.

It is a junction number, because it is equal to n+sod(n) for n = 410341034099978 and 410341034100014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8637461967 + ... + 8637509473.

It is an arithmetic number, because the mean of its divisors is an integer number (7418137432005).

Almost surely, 2^{410341034100040} is an apocalyptic number.

410341034100040 is a gapful number since it is divisible by the number (40) 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 410341034100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474760795648320).

410341034100040 is an abundant number, since it is smaller than the sum of its proper divisors (539180557196600).

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

410341034100040 is a wasteful number, since it uses less digits than its factorization.

410341034100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55439 (or 55435 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 410341034100040 its reverse (40001430143014), we get a palindrome (450342464243054).

The spelling of 410341034100040 in words is "four hundred ten trillion, three hundred forty-one billion, thirty-four million, one hundred thousand, forty".