420522524542120 has 256 divisors, whose sum is σ = 1271244235161600. Its totient is φ = 120908115624960.

The previous prime is 420522524542103. The next prime is 420522524542123. The reversal of 420522524542120 is 21245425225024.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (420522524542123) 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, 56008021 + ... + 63070939.

It is an arithmetic number, because the mean of its divisors is an integer number (4965797793600).

Almost surely, 2^{420522524542120} is an apocalyptic number.

420522524542120 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 420522524542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635622117580800).

420522524542120 is an abundant number, since it is smaller than the sum of its proper divisors (850721710619480).

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

420522524542120 is a wasteful number, since it uses less digits than its factorization.

420522524542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064448 (or 7064444 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 420522524542120 its reverse (21245425225024), we get a palindrome (441767949767144).

The spelling of 420522524542120 in words is "four hundred twenty trillion, five hundred twenty-two billion, five hundred twenty-four million, five hundred forty-two thousand, one hundred twenty".