11411642880 has 400 divisors, whose sum is σ = 44597529504. Its totient is φ = 2765905920.

The previous prime is 11411642867. The next prime is 11411642881. The reversal of 11411642880 is 8824611411.

11411642880 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 642 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11411642881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2278459 + ... + 2283461.

Almost surely, 2^11411642880 is an apocalyptic number.

11411642880 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 11411642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298764752).

11411642880 is an abundant number, since it is smaller than the sum of its proper divisors (33185886624).

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

11411642880 is an equidigital number, since it uses as much as digits as its factorization.

11411642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11411642880 in words is "eleven billion, four hundred eleven million, six hundred forty-two thousand, eight hundred eighty".