420000414002120 has 128 divisors (see below), whose sum is σ = 1137139874668800. Its totient is φ = 136385589252096.

The previous prime is 420000414002083. The next prime is 420000414002129. The reversal of 420000414002120 is 21200414000024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420000414002092 and 420000414002101.

It is not an unprimeable number, because it can be changed into a prime (420000414002129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10093172 + ... + 30689948.

It is an arithmetic number, because the mean of its divisors is an integer number (8883905270850).

Almost surely, 2^{420000414002120} is an apocalyptic number.

420000414002120 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 420000414002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568569937334400).

420000414002120 is an abundant number, since it is smaller than the sum of its proper divisors (717139460666680).

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

420000414002120 is a wasteful number, since it uses less digits than its factorization.

420000414002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20600647 (or 20600643 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 420000414002120 its reverse (21200414000024), we get a palindrome (441200828002144).

The spelling of 420000414002120 in words is "four hundred twenty trillion, four hundred fourteen million, two thousand, one hundred twenty".