11100040992 has 144 divisors (see below), whose sum is σ = 32511024000. Its totient is φ = 3590825472.

The previous prime is 11100040961. The next prime is 11100040999. The reversal of 11100040992 is 29904000111.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11100040999) 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, 1338234 + ... + 1346502.

It is an arithmetic number, because the mean of its divisors is an integer number (225771000).

Almost surely, 2^11100040992 is an apocalyptic number.

11100040992 is a gapful number since it is divisible by the number (12) 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 11100040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255512000).

11100040992 is an abundant number, since it is smaller than the sum of its proper divisors (21410983008).

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

11100040992 is a wasteful number, since it uses less digits than its factorization.

11100040992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423 (or 8412 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11100040992 in words is "eleven billion, one hundred million, forty thousand, nine hundred ninety-two".