420289217712 has 360 divisors, whose sum is σ = 1475600671584. Its totient is φ = 109323841536.

The previous prime is 420289217693. The next prime is 420289217767. The reversal of 420289217712 is 217712982024.

420289217712 is a `hidden beast` number, since 420 + 2 + 8 + 9 + 217 + 7 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12418798 + ... + 12452594.

Almost surely, 2^420289217712 is an apocalyptic number.

420289217712 is a gapful number since it is divisible by the number (42) 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 420289217712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737800335792).

420289217712 is an abundant number, since it is smaller than the sum of its proper divisors (1055311453872).

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

420289217712 is a wasteful number, since it uses less digits than its factorization.

420289217712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33917 (or 33895 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 420289217712 in words is "four hundred twenty billion, two hundred eighty-nine million, two hundred seventeen thousand, seven hundred twelve".