420231512064 has 368 divisors, whose sum is σ = 1382979304448. Its totient is φ = 110528299008.

The previous prime is 420231512033. The next prime is 420231512101. The reversal of 420231512064 is 460215132024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145044809 + ... + 1145045175.

It is an arithmetic number, because the mean of its divisors is an integer number (3758095936).

Almost surely, 2^420231512064 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 420231512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691489652224).

420231512064 is an abundant number, since it is smaller than the sum of its proper divisors (962747792384).

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

420231512064 is an frugal number, since it uses more digits than its factorization.

420231512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 420231512064 its reverse (460215132024), we get a palindrome (880446644088).

It can be divided in two parts, 420231 and 512064, that added together give a triangular number (932295 = T₁₃₆₅).

The spelling of 420231512064 in words is "four hundred twenty billion, two hundred thirty-one million, five hundred twelve thousand, sixty-four".