420300141360 has 320 divisors, whose sum is σ = 1495413287424. Its totient is φ = 96718233600.

The previous prime is 420300141307. The next prime is 420300141361. The reversal of 420300141360 is 63141003024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420300141360.

It is not an unprimeable number, because it can be changed into a prime (420300141361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3952407 + ... + 4057353.

Almost surely, 2^420300141360 is an apocalyptic number.

420300141360 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 420300141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747706643712).

420300141360 is an abundant number, since it is smaller than the sum of its proper divisors (1075113146064).

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

420300141360 is a wasteful number, since it uses less digits than its factorization.

420300141360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105052 (or 105046 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 420300141360 its reverse (63141003024), we get a palindrome (483441144384).

The spelling of 420300141360 in words is "four hundred twenty billion, three hundred million, one hundred forty-one thousand, three hundred sixty".