478095046289280 has 1280 divisors, whose sum is σ = 2055252952051200. Its totient is φ = 103462757056512.

The previous prime is 478095046289251. The next prime is 478095046289281. The reversal of 478095046289280 is 82982640590874.

478095046289280 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 9 + 5 + 0 + 462 + 89 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 478095046289199 and 478095046289208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478095046289281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11493477442 + ... + 11493519038.

It is an arithmetic number, because the mean of its divisors is an integer number (1605666368790).

Almost surely, 2^{478095046289280} is an apocalyptic number.

478095046289280 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 478095046289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027626476025600).

478095046289280 is an abundant number, since it is smaller than the sum of its proper divisors (1577157905761920).

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

478095046289280 is a wasteful number, since it uses less digits than its factorization.

478095046289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43321 (or 43300 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 478095046289280 in words is "four hundred seventy-eight trillion, ninety-five billion, forty-six million, two hundred eighty-nine thousand, two hundred eighty".