471466595040 has 768 divisors, whose sum is σ = 1862358220800. Its totient is φ = 97769226240.

The previous prime is 471466595027. The next prime is 471466595077. The reversal of 471466595040 is 40595664174.

It is a happy number.

It is a super-2 number, since 2×471466595040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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, 795052984 + ... + 795053576.

It is an arithmetic number, because the mean of its divisors is an integer number (2424945600).

Almost surely, 2^471466595040 is an apocalyptic number.

471466595040 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 471466595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931179110400).

471466595040 is an abundant number, since it is smaller than the sum of its proper divisors (1390891625760).

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

471466595040 is a wasteful number, since it uses less digits than its factorization.

471466595040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 471466595040 in words is "four hundred seventy-one billion, four hundred sixty-six million, five hundred ninety-five thousand, forty".