423672783206400 has 6912 divisors, whose sum is σ = 2035342129766400. Its totient is φ = 84467515392000.

The previous prime is 423672783206399. The next prime is 423672783206417. The reversal of 423672783206400 is 4602387276324.

423672783206400 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 7 + 27 + 8 + 3 + 206 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3092502067132 + ... + 3092502067268.

It is an arithmetic number, because the mean of its divisors is an integer number (294465007200).

Almost surely, 2^{423672783206400} is an apocalyptic number.

423672783206400 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 423672783206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017671064883200).

423672783206400 is an abundant number, since it is smaller than the sum of its proper divisors (1611669346560000).

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

423672783206400 is a wasteful number, since it uses less digits than its factorization.

423672783206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 423672783206400 in words is "four hundred twenty-three trillion, six hundred seventy-two billion, seven hundred eighty-three million, two hundred six thousand, four hundred".