11405479840000 has 135 divisors (see below), whose sum is σ = 28452272142063. Its totient is φ = 4561651584000.

The previous prime is 11405479839979. The next prime is 11405479840003. The reversal of 11405479840000 is 4897450411.

The square root of 11405479840000 is 3377200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 894189619456 + 10511290220544 = 945616^2 + 3242112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11405479840003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1350875779 + ... + 1350884221.

Almost surely, 2^{11405479840000} is an apocalyptic number.

11405479840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11405479840000 is the 3377200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11405479840000

11405479840000 is an abundant number, since it is smaller than the sum of its proper divisors (17046792302063).

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

11405479840000 is an frugal number, since it uses more digits than its factorization.

11405479840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16922 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 11405479840000 in words is "eleven trillion, four hundred five billion, four hundred seventy-nine million, eight hundred forty thousand".