478146533222400 has 1152 divisors, whose sum is σ = 1876634767687680. Its totient is φ = 105122562048000.

The previous prime is 478146533222341. The next prime is 478146533222467. The reversal of 478146533222400 is 4222335641874.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3129830817 + ... + 3129983583.

It is an arithmetic number, because the mean of its divisors is an integer number (1629023235840).

Almost surely, 2^{478146533222400} is an apocalyptic number.

478146533222400 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 478146533222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938317383843840).

478146533222400 is an abundant number, since it is smaller than the sum of its proper divisors (1398488234465280).

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

478146533222400 is a wasteful number, since it uses less digits than its factorization.

478146533222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152921 (or 152896 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 478146533222400 in words is "four hundred seventy-eight trillion, one hundred forty-six billion, five hundred thirty-three million, two hundred twenty-two thousand, four hundred".