486431004672000 has 960 divisors, whose sum is σ = 1800417070932480. Its totient is φ = 129588166656000.

The previous prime is 486431004671987. The next prime is 486431004672077. The reversal of 486431004672000 is 276400134684.

486431004672000 is a `hidden beast` number, since 4 + 8 + 6 + 431 + 0 + 0 + 4 + 6 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×486431004672000² (a number of 30 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 65636348295 + ... + 65636355705.

It is an arithmetic number, because the mean of its divisors is an integer number (1875434448888).

Almost surely, 2^{486431004672000} is an apocalyptic number.

486431004672000 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 486431004672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900208535466240).

486431004672000 is an abundant number, since it is smaller than the sum of its proper divisors (1313986066260480).

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

486431004672000 is an equidigital number, since it uses as much as digits as its factorization.

486431004672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 486431004672000 in words is "four hundred eighty-six trillion, four hundred thirty-one billion, four million, six hundred seventy-two thousand".