478588761431424 has 192 divisors, whose sum is σ = 1585945040359680. Its totient is φ = 135695831731200.

The previous prime is 478588761431423. The next prime is 478588761431437. The reversal of 478588761431424 is 424134167885874.

478588761431424 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 88 + 76 + 1 + 431 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478588761431423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225465772 + ... + 227578539.

It is an arithmetic number, because the mean of its divisors is an integer number (8260130418540).

Almost surely, 2^{478588761431424} is an apocalyptic number.

It is an amenable number.

478588761431424 is an abundant number, since it is smaller than the sum of its proper divisors (1107356278928256).

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

478588761431424 is a wasteful number, since it uses less digits than its factorization.

478588761431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453044469 (or 453044454 counting only the distinct ones).

The product of its digits is 1156055040, while the sum is 72.

The spelling of 478588761431424 in words is "four hundred seventy-eight trillion, five hundred eighty-eight billion, seven hundred sixty-one million, four hundred thirty-one thousand, four hundred twenty-four".