11729940480 has 312 divisors, whose sum is σ = 42182601552. Its totient is φ = 3126657024.

The previous prime is 11729940473. The next prime is 11729940533. The reversal of 11729940480 is 8404992711.

It is a happy number.

11729940480 is a `hidden beast` number, since 11 + 72 + 9 + 94 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4975462 + ... + 4977818.

It is an arithmetic number, because the mean of its divisors is an integer number (135200646).

Almost surely, 2^11729940480 is an apocalyptic number.

11729940480 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 11729940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091300776).

11729940480 is an abundant number, since it is smaller than the sum of its proper divisors (30452661072).

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

11729940480 is an frugal number, since it uses more digits than its factorization.

11729940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11729940480 in words is "eleven billion, seven hundred twenty-nine million, nine hundred forty thousand, four hundred eighty".