420287211520 has 192 divisors, whose sum is σ = 1111042033920. Its totient is φ = 151314432000.

The previous prime is 420287211467. The next prime is 420287211521. The reversal of 420287211520 is 25112782024.

It is not an unprimeable number, because it can be changed into a prime (420287211521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11358169 + ... + 11395111.

It is an arithmetic number, because the mean of its divisors is an integer number (5786677260).

Almost surely, 2^420287211520 is an apocalyptic number.

420287211520 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 420287211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555521016960).

420287211520 is an abundant number, since it is smaller than the sum of its proper divisors (690754822400).

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

420287211520 is a wasteful number, since it uses less digits than its factorization.

420287211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37082 (or 37062 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

Adding to 420287211520 its reverse (25112782024), we get a palindrome (445399993544).

The spelling of 420287211520 in words is "four hundred twenty billion, two hundred eighty-seven million, two hundred eleven thousand, five hundred twenty".