484228433111040 has 3072 divisors, whose sum is σ = 1930127367168000. Its totient is φ = 116037727027200.

The previous prime is 484228433111029. The next prime is 484228433111051. The reversal of 484228433111040 is 40111334822484.

484228433111040 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 284 + 3 + 311 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (484228433111029) and next prime (484228433111051).

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1050387056410 + ... + 1050387056870.

It is an arithmetic number, because the mean of its divisors is an integer number (628296669000).

Almost surely, 2^{484228433111040} is an apocalyptic number.

484228433111040 is a gapful number since it is divisible by the number (40) 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 484228433111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965063683584000).

484228433111040 is an abundant number, since it is smaller than the sum of its proper divisors (1445898934056960).

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

484228433111040 is an equidigital number, since it uses as much as digits as its factorization.

484228433111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 484228433111040 in words is "four hundred eighty-four trillion, two hundred twenty-eight billion, four hundred thirty-three million, one hundred eleven thousand, forty".