478486794240000 has 5120 divisors, whose sum is σ = 2248048384243200. Its totient is φ = 97844723712000.

The previous prime is 478486794239983. The next prime is 478486794240001. The reversal of 478486794240000 is 42497684874.

478486794240000 is a `hidden beast` number, since 4 + 7 + 8 + 486 + 79 + 42 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

It is a super-2 number, since 2×478486794240000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 478486794240000.

It is not an unprimeable number, because it can be changed into a prime (478486794240001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 1861816319872 + ... + 1861816320128.

Almost surely, 2^{478486794240000} is an apocalyptic number.

478486794240000 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 478486794240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124024192121600).

478486794240000 is an abundant number, since it is smaller than the sum of its proper divisors (1769561590003200).

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

478486794240000 is an equidigital number, since it uses as much as digits as its factorization.

478486794240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 478486794240000 in words is "four hundred seventy-eight trillion, four hundred eighty-six billion, seven hundred ninety-four million, two hundred forty thousand".