11479818240 has 672 divisors, whose sum is σ = 46003464000. Its totient is φ = 2618818560.

The previous prime is 11479818223. The next prime is 11479818281. The reversal of 11479818240 is 4281897411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77045686 + ... + 77045834.

Almost surely, 2^11479818240 is an apocalyptic number.

11479818240 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 11479818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23001732000).

11479818240 is an abundant number, since it is smaller than the sum of its proper divisors (34523645760).

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

11479818240 is a wasteful number, since it uses less digits than its factorization.

11479818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11479818240 in words is "eleven billion, four hundred seventy-nine million, eight hundred eighteen thousand, two hundred forty".