423882652703040 has 1792 divisors, whose sum is σ = 1632873779712000. Its totient is φ = 103158341959680.

The previous prime is 423882652703017. The next prime is 423882652703047. The reversal of 423882652703040 is 40307256288324.

423882652703040 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 8 + 2 + 65 + 270 + 304 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423882652703047) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 272944398904 + ... + 272944400456.

It is an arithmetic number, because the mean of its divisors is an integer number (911201886000).

Almost surely, 2^{423882652703040} is an apocalyptic number.

423882652703040 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 423882652703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816436889856000).

423882652703040 is an abundant number, since it is smaller than the sum of its proper divisors (1208991127008960).

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

423882652703040 is a wasteful number, since it uses less digits than its factorization.

423882652703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 423882652703040 in words is "four hundred twenty-three trillion, eight hundred eighty-two billion, six hundred fifty-two million, seven hundred three thousand, forty".