11404730880 has 160 divisors (see below), whose sum is σ = 40510800000. Its totient is φ = 3041243136.

The previous prime is 11404730879. The next prime is 11404730881. The reversal of 11404730880 is 8803740411.

It is an interprime number because it is at equal distance from previous prime (11404730879) and next prime (11404730881).

It is a tau number, because it is divible by the number of its divisors (160).

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 (11404730881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13380 + ... + 151619.

It is an arithmetic number, because the mean of its divisors is an integer number (253192500).

Almost surely, 2^11404730880 is an apocalyptic number.

11404730880 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 11404730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400000).

11404730880 is an abundant number, since it is smaller than the sum of its proper divisors (29106069120).

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

11404730880 is an equidigital number, since it uses as much as digits as its factorization.

11404730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165031 (or 165009 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11404730880 in words is "eleven billion, four hundred four million, seven hundred thirty thousand, eight hundred eighty".