423821260800 has 1728 divisors, whose sum is σ = 1882117036800. Its totient is φ = 88945459200.

The previous prime is 423821260789. The next prime is 423821260861. The reversal of 423821260800 is 8062128324.

423821260800 is a `hidden beast` number, since 4 + 2 + 38 + 2 + 12 + 608 + 0 + 0 = 666.

It is a super-2 number, since 2×423821260800² (a number of 24 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 3235276735 + ... + 3235276865.

It is an arithmetic number, because the mean of its divisors is an integer number (1089188100).

Almost surely, 2^423821260800 is an apocalyptic number.

423821260800 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 423821260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941058518400).

423821260800 is an abundant number, since it is smaller than the sum of its proper divisors (1458295776000).

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

423821260800 is a wasteful number, since it uses less digits than its factorization.

423821260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 423821260800 in words is "four hundred twenty-three billion, eight hundred twenty-one million, two hundred sixty thousand, eight hundred".