480043509120 has 192 divisors, whose sum is σ = 1894457579040. Its totient is φ = 109724221440.

The previous prime is 480043509107. The next prime is 480043509167. The reversal of 480043509120 is 21905340084.

480043509120 is a `hidden beast` number, since 480 + 0 + 4 + 3 + 50 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5912601 + ... + 5993240.

Almost surely, 2^480043509120 is an apocalyptic number.

480043509120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480043509120 is an abundant number, since it is smaller than the sum of its proper divisors (1414414069920).

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

480043509120 is a wasteful number, since it uses less digits than its factorization.

480043509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11905873 (or 11905858 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 480043509120 in words is "four hundred eighty billion, forty-three million, five hundred nine thousand, one hundred twenty".