11473338240 has 1152 divisors, whose sum is σ = 51425992800. Its totient is φ = 2334818304.

The previous prime is 11473338211. The next prime is 11473338259. The reversal of 11473338240 is 4283337411.

11473338240 is a `hidden beast` number, since 1 + 14 + 73 + 338 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11473338195 and 11473338204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194463331 + ... + 194463389.

Almost surely, 2^11473338240 is an apocalyptic number.

11473338240 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 11473338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712996400).

11473338240 is an abundant number, since it is smaller than the sum of its proper divisors (39952654560).

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

11473338240 is a wasteful number, since it uses less digits than its factorization.

11473338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 11473338240 in words is "eleven billion, four hundred seventy-three million, three hundred thirty-eight thousand, two hundred forty".