949530471120 has 720 divisors, whose sum is σ = 4070370051072. Its totient is φ = 196150671360.

The previous prime is 949530471077. The next prime is 949530471139. The reversal of 949530471120 is 21174035949.

949530471120 is a `hidden beast` number, since 9 + 4 + 9 + 53 + 0 + 471 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67130769 + ... + 67144911.

Almost surely, 2^949530471120 is an apocalyptic number.

949530471120 is a gapful number since it is divisible by the number (90) 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 949530471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035185025536).

949530471120 is an abundant number, since it is smaller than the sum of its proper divisors (3120839579952).

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

949530471120 is a wasteful number, since it uses less digits than its factorization.

949530471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14360 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 949530471120 in words is "nine hundred forty-nine billion, five hundred thirty million, four hundred seventy-one thousand, one hundred twenty".