478113240794400 has 432 divisors, whose sum is σ = 1748506715845344. Its totient is φ = 127488301332480.

The previous prime is 478113240794389. The next prime is 478113240794467. The reversal of 478113240794400 is 4497042311874.

478113240794400 is a `hidden beast` number, since 4 + 7 + 81 + 1 + 32 + 40 + 7 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3216662484 + ... + 3216811116.

It is an arithmetic number, because the mean of its divisors is an integer number (4047469249642).

Almost surely, 2^{478113240794400} is an apocalyptic number.

478113240794400 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 478113240794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874253357922672).

478113240794400 is an abundant number, since it is smaller than the sum of its proper divisors (1270393475050944).

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

478113240794400 is a wasteful number, since it uses less digits than its factorization.

478113240794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165215 (or 165190 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 478113240794400 in words is "four hundred seventy-eight trillion, one hundred thirteen billion, two hundred forty million, seven hundred ninety-four thousand, four hundred".