420111411120 has 240 divisors, whose sum is σ = 1420755440832. Its totient is φ = 111246981120.

The previous prime is 420111411091. The next prime is 420111411143. The reversal of 420111411120 is 21114111024.

420111411120 is a `hidden beast` number, since 4 + 20 + 111 + 411 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 420111411093 and 420111411102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107251402 + ... + 107255318.

Almost surely, 2^420111411120 is an apocalyptic number.

420111411120 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 420111411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710377720416).

420111411120 is an abundant number, since it is smaller than the sum of its proper divisors (1000644029712).

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

420111411120 is a wasteful number, since it uses less digits than its factorization.

420111411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 420111411120 its reverse (21114111024), we get a palindrome (441225522144).

The spelling of 420111411120 in words is "four hundred twenty billion, one hundred eleven million, four hundred eleven thousand, one hundred twenty".