471481920000 has 1800 divisors, whose sum is σ = 2138418077796. Its totient is φ = 99090432000.

The previous prime is 471481919957. The next prime is 471481920023. The reversal of 471481920000 is 29184174.

It can be written as a sum of positive squares in 10 ways, for example, as 10364868864 + 461117051136 = 101808^2 + 679056^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1834559872 + ... + 1834560128.

Almost surely, 2^471481920000 is an apocalyptic number.

471481920000 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 471481920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069209038898).

471481920000 is an abundant number, since it is smaller than the sum of its proper divisors (1666936157796).

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

471481920000 is a wasteful number, since it uses less digits than its factorization.

471481920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 471481920000 in words is "four hundred seventy-one billion, four hundred eighty-one million, nine hundred twenty thousand".