478884100000 has 288 divisors, whose sum is σ = 1214436271104. Its totient is φ = 185760000000.

The previous prime is 478884099989. The next prime is 478884100039. The reversal of 478884100000 is 1488874.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111099785 + ... + 1111100215.

It is an arithmetic number, because the mean of its divisors is an integer number (4216792608).

Almost surely, 2^478884100000 is an apocalyptic number.

478884100000 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 478884100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607218135552).

478884100000 is an abundant number, since it is smaller than the sum of its proper divisors (735552171104).

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

478884100000 is an equidigital number, since it uses as much as digits as its factorization.

478884100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

Adding to 478884100000 its reverse (1488874), we get a palindrome (478885588874).

The spelling of 478884100000 in words is "four hundred seventy-eight billion, eight hundred eighty-four million, one hundred thousand".