420365502736 has 75 divisors (see below), whose sum is σ = 861624465941. Its totient is φ = 198677025792.

The previous prime is 420365502731. The next prime is 420365502751. The reversal of 420365502736 is 637205563024.

The square root of 420365502736 is 648356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 256890840336 + 163474662400 = 506844^2 + 404320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420365502692 and 420365502701.

It is not an unprimeable number, because it can be changed into a prime (420365502731) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 936225840 + ... + 936226288.

Almost surely, 2^420365502736 is an apocalyptic number.

420365502736 is the 648356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420365502736

420365502736 is an abundant number, since it is smaller than the sum of its proper divisors (441258963205).

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

420365502736 is an frugal number, since it uses more digits than its factorization.

420365502736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 420365502736 in words is "four hundred twenty billion, three hundred sixty-five million, five hundred two thousand, seven hundred thirty-six".