11410320040 has 256 divisors, whose sum is σ = 32643072000. Its totient is φ = 3501066240.

The previous prime is 11410319971. The next prime is 11410320041. The reversal of 11410320040 is 4002301411.

It is a junction number, because it is equal to n+sod(n) for n = 11410319996 and 11410320023.

It is not an unprimeable number, because it can be changed into a prime (11410320041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7090756 + ... + 7092364.

It is an arithmetic number, because the mean of its divisors is an integer number (127512000).

Almost surely, 2^11410320040 is an apocalyptic number.

11410320040 is a gapful number since it is divisible by the number (10) 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 11410320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321536000).

11410320040 is an abundant number, since it is smaller than the sum of its proper divisors (21232751960).

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

11410320040 is a wasteful number, since it uses less digits than its factorization.

11410320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11410320040 its reverse (4002301411), we get a palindrome (15412621451).

The spelling of 11410320040 in words is "eleven billion, four hundred ten million, three hundred twenty thousand, forty".