410103132040 has 128 divisors (see below), whose sum is σ = 1074804940800. Its totient is φ = 137931171840.

The previous prime is 410103132001. The next prime is 410103132059. The reversal of 410103132040 is 40231301014.

It is a junction number, because it is equal to n+sod(n) for n = 410103131999 and 410103132017.

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, 3100050 + ... + 3229630.

It is an arithmetic number, because the mean of its divisors is an integer number (8396913600).

Almost surely, 2^410103132040 is an apocalyptic number.

410103132040 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 410103132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537402470400).

410103132040 is an abundant number, since it is smaller than the sum of its proper divisors (664701808760).

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

410103132040 is a wasteful number, since it uses less digits than its factorization.

410103132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129815 (or 129811 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 410103132040 its reverse (40231301014), we get a palindrome (450334433054).

The spelling of 410103132040 in words is "four hundred ten billion, one hundred three million, one hundred thirty-two thousand, forty".