420312505504 has 96 divisors (see below), whose sum is σ = 874804432320. Its totient is φ = 198237339648.

The previous prime is 420312505471. The next prime is 420312505531. The reversal of 420312505504 is 405505213024.

It is a super-3 number, since 3×420312505504³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256756974 + ... + 256758610.

It is an arithmetic number, because the mean of its divisors is an integer number (9112546170).

Almost surely, 2^420312505504 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 420312505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437402216160).

420312505504 is an abundant number, since it is smaller than the sum of its proper divisors (454491926816).

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

420312505504 is a wasteful number, since it uses less digits than its factorization.

420312505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 420312505504 its reverse (405505213024), we get a palindrome (825817718528).

The spelling of 420312505504 in words is "four hundred twenty billion, three hundred twelve million, five hundred five thousand, five hundred four".