470128221852800 has 576 divisors, whose sum is σ = 1360679236044480. Its totient is φ = 160030080000000.

The previous prime is 470128221852781. The next prime is 470128221852841. The reversal of 470128221852800 is 8258122821074.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 71 ways as a sum of consecutive naturals, for example, 53296472390 + ... + 53296481210.

It is an arithmetic number, because the mean of its divisors is an integer number (2362290340355).

Almost surely, 2^{470128221852800} is an apocalyptic number.

470128221852800 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 470128221852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680339618022240).

470128221852800 is an abundant number, since it is smaller than the sum of its proper divisors (890551014191680).

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

470128221852800 is a wasteful number, since it uses less digits than its factorization.

470128221852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 50.

The spelling of 470128221852800 in words is "four hundred seventy trillion, one hundred twenty-eight billion, two hundred twenty-one million, eight hundred fifty-two thousand, eight hundred".