478588411840 has 448 divisors, whose sum is σ = 1517891125248. Its totient is φ = 139139481600.

The previous prime is 478588411787. The next prime is 478588411843. The reversal of 478588411840 is 48114885874.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478588411843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47328385 + ... + 47338495.

Almost surely, 2^478588411840 is an apocalyptic number.

478588411840 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 478588411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758945562624).

478588411840 is an abundant number, since it is smaller than the sum of its proper divisors (1039302713408).

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

478588411840 is a wasteful number, since it uses less digits than its factorization.

478588411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 58.

The spelling of 478588411840 in words is "four hundred seventy-eight billion, five hundred eighty-eight million, four hundred eleven thousand, eight hundred forty".