11741432320 has 80 divisors (see below), whose sum is σ = 28491613920. Its totient is φ = 4639903744.

The previous prime is 11741432309. The next prime is 11741432369. The reversal of 11741432320 is 2323414711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11741432320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 184851 + ... + 240109.

It is an arithmetic number, because the mean of its divisors is an integer number (356145174).

Almost surely, 2^11741432320 is an apocalyptic number.

11741432320 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 11741432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245806960).

11741432320 is an abundant number, since it is smaller than the sum of its proper divisors (16750181600).

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

11741432320 is an frugal number, since it uses more digits than its factorization.

11741432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55365 (or 55349 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 11741432320 in words is "eleven billion, seven hundred forty-one million, four hundred thirty-two thousand, three hundred twenty".