478167428193000 has 1536 divisors, whose sum is σ = 1955084398525440. Its totient is φ = 94730143334400.

The previous prime is 478167428192999. The next prime is 478167428193043. The reversal of 478167428193000 is 391824761874.

It is a super-2 number, since 2×478167428193000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11136467532 + ... + 11136510468.

It is an arithmetic number, because the mean of its divisors is an integer number (1272841405290).

Almost surely, 2^{478167428193000} is an apocalyptic number.

478167428193000 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 478167428193000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977542199262720).

478167428193000 is an abundant number, since it is smaller than the sum of its proper divisors (1476916970332440).

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

478167428193000 is a wasteful number, since it uses less digits than its factorization.

478167428193000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43132 (or 43099 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 478167428193000 in words is "four hundred seventy-eight trillion, one hundred sixty-seven billion, four hundred twenty-eight million, one hundred ninety-three thousand".