471744483840 has 1280 divisors, whose sum is σ = 2055108464640. Its totient is φ = 100116725760.

The previous prime is 471744483829. The next prime is 471744483911. The reversal of 471744483840 is 48384447174.

471744483840 is a `hidden beast` number, since 47 + 1 + 7 + 44 + 483 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×471744483840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 682697895 + ... + 682698585.

It is an arithmetic number, because the mean of its divisors is an integer number (1605553488).

Almost surely, 2^471744483840 is an apocalyptic number.

471744483840 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 471744483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027554232320).

471744483840 is an abundant number, since it is smaller than the sum of its proper divisors (1583363980800).

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

471744483840 is a wasteful number, since it uses less digits than its factorization.

471744483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 471744483840 in words is "four hundred seventy-one billion, seven hundred forty-four million, four hundred eighty-three thousand, eight hundred forty".