486017418240 has 616 divisors, whose sum is σ = 1778441460480. Its totient is φ = 127350226944.

The previous prime is 486017418221. The next prime is 486017418307. The reversal of 486017418240 is 42814710684.

486017418240 is a `hidden beast` number, since 4 + 8 + 601 + 7 + 4 + 18 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 220215217 + ... + 220217423.

Almost surely, 2^486017418240 is an apocalyptic number.

486017418240 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 486017418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889220730240).

486017418240 is an abundant number, since it is smaller than the sum of its proper divisors (1292424042240).

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

486017418240 is an equidigital number, since it uses as much as digits as its factorization.

486017418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 486017418240 in words is "four hundred eighty-six billion, seventeen million, four hundred eighteen thousand, two hundred forty".