471085655040 has 1584 divisors, whose sum is σ = 2232283959360. Its totient is φ = 90296156160.

The previous prime is 471085654969. The next prime is 471085655059. The reversal of 471085655040 is 40556580174.

471085655040 is a `hidden beast` number, since 4 + 7 + 1 + 0 + 8 + 56 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322881831 + ... + 322883289.

Almost surely, 2^471085655040 is an apocalyptic number.

471085655040 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 471085655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116141979680).

471085655040 is an abundant number, since it is smaller than the sum of its proper divisors (1761198304320).

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

471085655040 is a wasteful number, since it uses less digits than its factorization.

471085655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 471085655040 in words is "four hundred seventy-one billion, eighty-five million, six hundred fifty-five thousand, forty".