11413200040 has 96 divisors (see below), whose sum is σ = 28485082080. Its totient is φ = 4081632000.

The previous prime is 11413200011. The next prime is 11413200049. The reversal of 11413200040 is 4000231411.

It is a super-2 number, since 2×11413200040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11413199987 and 11413200023.

It is not an unprimeable number, because it can be changed into a prime (11413200049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633755 + ... + 1640725.

It is an arithmetic number, because the mean of its divisors is an integer number (296719605).

Almost surely, 2^11413200040 is an apocalyptic number.

11413200040 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 11413200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242541040).

11413200040 is an abundant number, since it is smaller than the sum of its proper divisors (17071882040).

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

11413200040 is a wasteful number, since it uses less digits than its factorization.

11413200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7050 counting only the distinct ones).

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

Adding to 11413200040 its reverse (4000231411), we get a palindrome (15413431451).

The spelling of 11413200040 in words is "eleven billion, four hundred thirteen million, two hundred thousand, forty".