420123400000 has 168 divisors, whose sum is σ = 1046700741240. Its totient is φ = 167297280000.

The previous prime is 420123399991. The next prime is 420123400007. The reversal of 420123400000 is 4321024.

It can be written as a sum of positive squares in 12 ways, for example, as 420049164544 + 74235456 = 648112^2 + 8616^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420123400007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 45795414 + ... + 45804586.

It is an arithmetic number, because the mean of its divisors is an integer number (6230361555).

Almost surely, 2^420123400000 is an apocalyptic number.

420123400000 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 420123400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523350370620).

420123400000 is an abundant number, since it is smaller than the sum of its proper divisors (626577341240).

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

420123400000 is an frugal number, since it uses more digits than its factorization.

420123400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 420123400000 its reverse (4321024), we get a palindrome (420127721024).

The spelling of 420123400000 in words is "four hundred twenty billion, one hundred twenty-three million, four hundred thousand".