423171440640 has 480 divisors, whose sum is σ = 1620409412160. Its totient is φ = 104158199808.

The previous prime is 423171440603. The next prime is 423171440683. The reversal of 423171440640 is 46044171324.

423171440640 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 7 + 1 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 423171440595 and 423171440604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28746562 + ... + 28761278.

It is an arithmetic number, because the mean of its divisors is an integer number (3375852942).

Almost surely, 2^423171440640 is an apocalyptic number.

423171440640 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 423171440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810204706080).

423171440640 is an abundant number, since it is smaller than the sum of its proper divisors (1197237971520).

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

423171440640 is a wasteful number, since it uses less digits than its factorization.

423171440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 423171440640 in words is "four hundred twenty-three billion, one hundred seventy-one million, four hundred forty thousand, six hundred forty".