11081129040 has 480 divisors, whose sum is σ = 41064371712. Its totient is φ = 2666496000.

The previous prime is 11081129027. The next prime is 11081129047. The reversal of 11081129040 is 4092118011.

It is a super-2 number, since 2×11081129040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11081128995 and 11081129013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11081129047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35630485 + ... + 35630795.

Almost surely, 2^11081129040 is an apocalyptic number.

11081129040 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 11081129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532185856).

11081129040 is an abundant number, since it is smaller than the sum of its proper divisors (29983242672).

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

11081129040 is a wasteful number, since it uses less digits than its factorization.

11081129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 11081129040 in words is "eleven billion, eighty-one million, one hundred twenty-nine thousand, forty".