420519789216 has 216 divisors, whose sum is σ = 1253456830080. Its totient is φ = 138855814272.

The previous prime is 420519789211. The next prime is 420519789289. The reversal of 420519789216 is 612987915024.

It is a happy number.

420519789216 is a `hidden beast` number, since 4 + 20 + 519 + 7 + 8 + 92 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (420519789211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22455505 + ... + 22474223.

It is an arithmetic number, because the mean of its divisors is an integer number (5803040880).

Almost surely, 2^420519789216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420519789216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626728415040).

420519789216 is an abundant number, since it is smaller than the sum of its proper divisors (832937040864).

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

420519789216 is an equidigital number, since it uses as much as digits as its factorization.

420519789216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18860 (or 18831 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 420519789216 in words is "four hundred twenty billion, five hundred nineteen million, seven hundred eighty-nine thousand, two hundred sixteen".