420320412144 has 160 divisors (see below), whose sum is σ = 1260121251840. Its totient is φ = 133888474368.

The previous prime is 420320412137. The next prime is 420320412173. The reversal of 420320412144 is 441214023024.

420320412144 is a `hidden beast` number, since 4 + 203 + 2 + 0 + 412 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 10780974 + ... + 10819890.

It is an arithmetic number, because the mean of its divisors is an integer number (7875757824).

Almost surely, 2^420320412144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420320412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630060625920).

420320412144 is an abundant number, since it is smaller than the sum of its proper divisors (839800839696).

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

420320412144 is a wasteful number, since it uses less digits than its factorization.

420320412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40044 (or 40032 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 420320412144 its reverse (441214023024), we get a palindrome (861534435168).

The spelling of 420320412144 in words is "four hundred twenty billion, three hundred twenty million, four hundred twelve thousand, one hundred forty-four".