468531641571840 has 1440 divisors, whose sum is σ = 2127979783702080. Its totient is φ = 97357139066880.

The previous prime is 468531641571839. The next prime is 468531641571883. The reversal of 468531641571840 is 48175146135864.

468531641571840 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 3 + 16 + 4 + 1 + 571 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 409240839 + ... + 410384121.

It is an arithmetic number, because the mean of its divisors is an integer number (1477763738682).

Almost surely, 2^{468531641571840} is an apocalyptic number.

468531641571840 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 468531641571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063989891851040).

468531641571840 is an abundant number, since it is smaller than the sum of its proper divisors (1659448142130240).

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

468531641571840 is a wasteful number, since it uses less digits than its factorization.

468531641571840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143351 (or 1143311 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 468531641571840 in words is "four hundred sixty-eight trillion, five hundred thirty-one billion, six hundred forty-one million, five hundred seventy-one thousand, eight hundred forty".