478382362698240 has 2400 divisors, whose sum is σ = 2317967825564160. Its totient is φ = 91757218037760.

The previous prime is 478382362698217. The next prime is 478382362698287. The reversal of 478382362698240 is 42896263283874.

478382362698240 is a `hidden beast` number, since 4 + 7 + 83 + 82 + 362 + 6 + 98 + 24 + 0 = 666.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 2283136201 + ... + 2283345719.

Almost surely, 2^{478382362698240} is an apocalyptic number.

478382362698240 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 478382362698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158983912782080).

478382362698240 is an abundant number, since it is smaller than the sum of its proper divisors (1839585462865920).

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

478382362698240 is a wasteful number, since it uses less digits than its factorization.

478382362698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209596 (or 209560 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 478382362698240 in words is "four hundred seventy-eight trillion, three hundred eighty-two billion, three hundred sixty-two million, six hundred ninety-eight thousand, two hundred forty".