420142011300 has 216 divisors, whose sum is σ = 1441753159392. Its totient is φ = 101489472000.

The previous prime is 420142011299. The next prime is 420142011319. The reversal of 420142011300 is 3110241024.

420142011300 is a `hidden beast` number, since 4 + 201 + 420 + 11 + 30 + 0 = 666.

It is a super-3 number, since 3×420142011300³ (a number of 36 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2706387 + ... + 2857413.

Almost surely, 2^420142011300 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 420142011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720876579696).

420142011300 is an abundant number, since it is smaller than the sum of its proper divisors (1021611148092).

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

420142011300 is a wasteful number, since it uses less digits than its factorization.

420142011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151339 (or 151329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 420142011300 its reverse (3110241024), we get a palindrome (423252252324).

The spelling of 420142011300 in words is "four hundred twenty billion, one hundred forty-two million, eleven thousand, three hundred".