11479871424 has 224 divisors, whose sum is σ = 35787128832. Its totient is φ = 3179520000.

The previous prime is 11479871399. The next prime is 11479871477. The reversal of 11479871424 is 42417897411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9973249 + ... + 9974399.

It is an arithmetic number, because the mean of its divisors is an integer number (159763968).

Almost surely, 2^11479871424 is an apocalyptic number.

11479871424 is a gapful number since it is divisible by the number (14) 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 11479871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893564416).

11479871424 is an abundant number, since it is smaller than the sum of its proper divisors (24307257408).

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

11479871424 is a wasteful number, since it uses less digits than its factorization.

11479871424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1385 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

It can be divided in two parts, 1147987 and 1424, that added together give a palindrome (1149411).

The spelling of 11479871424 in words is "eleven billion, four hundred seventy-nine million, eight hundred seventy-one thousand, four hundred twenty-four".