420302311200 has 216 divisors, whose sum is σ = 1488002168016. Its totient is φ = 111633600000.

The previous prime is 420302311199. The next prime is 420302311243. The reversal of 420302311200 is 2113203024.

420302311200 is a `hidden beast` number, since 420 + 3 + 0 + 231 + 12 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1690915 + ... + 1923485.

It is an arithmetic number, because the mean of its divisors is an integer number (6888898926).

Almost surely, 2^420302311200 is an apocalyptic number.

420302311200 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 420302311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744001084008).

420302311200 is an abundant number, since it is smaller than the sum of its proper divisors (1067699856816).

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

420302311200 is a wasteful number, since it uses less digits than its factorization.

420302311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232848 (or 232832 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 420302311200 its reverse (2113203024), we get a palindrome (422415514224).

The spelling of 420302311200 in words is "four hundred twenty billion, three hundred two million, three hundred eleven thousand, two hundred".