474433612800 has 528 divisors, whose sum is σ = 1825953345792. Its totient is φ = 106389504000.

The previous prime is 474433612777. The next prime is 474433612813. The reversal of 474433612800 is 8216334474.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28484475 + ... + 28501125.

Almost surely, 2^474433612800 is an apocalyptic number.

474433612800 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 474433612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912976672896).

474433612800 is an abundant number, since it is smaller than the sum of its proper divisors (1351519732992).

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

474433612800 is a wasteful number, since it uses less digits than its factorization.

474433612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744 (or 16721 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 474433612800 in words is "four hundred seventy-four billion, four hundred thirty-three million, six hundred twelve thousand, eight hundred".