420111720 has 192 divisors, whose sum is σ = 1597115520. Its totient is φ = 93768192.

The previous prime is 420111691. The next prime is 420111737. The reversal of 420111720 is 27111024.

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 = 420111693 and 420111702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106422 + ... + 110298.

It is an arithmetic number, because the mean of its divisors is an integer number (8318310).

Almost surely, 2^420111720 is an apocalyptic number.

420111720 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 420111720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798557760).

420111720 is an abundant number, since it is smaller than the sum of its proper divisors (1177003800).

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

420111720 is a wasteful number, since it uses less digits than its factorization.

420111720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 420111720 is about 20496.6270395887. The cubic root of 420111720 is about 748.9536341703.

Adding to 420111720 its reverse (27111024), we get a palindrome (447222744).

The spelling of 420111720 in words is "four hundred twenty million, one hundred eleven thousand, seven hundred twenty".