471761851440 has 640 divisors, whose sum is σ = 1678521139200. Its totient is φ = 108573696000.

The previous prime is 471761851439. The next prime is 471761851441. The reversal of 471761851440 is 44158167174.

It is an interprime number because it is at equal distance from previous prime (471761851439) and next prime (471761851441).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 471761851440.

It is not an unprimeable number, because it can be changed into a prime (471761851441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1740818505 + ... + 1740818775.

It is an arithmetic number, because the mean of its divisors is an integer number (2622689280).

Almost surely, 2^471761851440 is an apocalyptic number.

471761851440 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 471761851440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839260569600).

471761851440 is an abundant number, since it is smaller than the sum of its proper divisors (1206759287760).

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

471761851440 is a wasteful number, since it uses less digits than its factorization.

471761851440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 471761851440 in words is "four hundred seventy-one billion, seven hundred sixty-one million, eight hundred fifty-one thousand, four hundred forty".