423827251200 has 840 divisors, whose sum is σ = 1626036669180. Its totient is φ = 108999475200.

The previous prime is 423827251187. The next prime is 423827251219. The reversal of 423827251200 is 2152728324.

423827251200 is a `hidden beast` number, since 4 + 2 + 382 + 7 + 251 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 90057609216 + 333769641984 = 300096^2 + 577728^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 481074760 + ... + 481075640.

Almost surely, 2^423827251200 is an apocalyptic number.

423827251200 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 423827251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813018334590).

423827251200 is an abundant number, since it is smaller than the sum of its proper divisors (1202209417980).

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

423827251200 is an equidigital number, since it uses as much as digits as its factorization.

423827251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 423827251200 its reverse (2152728324), we get a palindrome (425979979524).

The spelling of 423827251200 in words is "four hundred twenty-three billion, eight hundred twenty-seven million, two hundred fifty-one thousand, two hundred".