420611433312 has 576 divisors, whose sum is σ = 1387548610560. Its totient is φ = 109073018880.

The previous prime is 420611433311. The next prime is 420611433353. The reversal of 420611433312 is 213334116024.

It is a self number, because there is not a number n which added to its sum of digits gives 420611433312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420611433311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692934513 + ... + 692935119.

It is an arithmetic number, because the mean of its divisors is an integer number (2408938560).

Almost surely, 2^420611433312 is an apocalyptic number.

420611433312 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 420611433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693774305280).

420611433312 is an abundant number, since it is smaller than the sum of its proper divisors (966937177248).

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

420611433312 is a wasteful number, since it uses less digits than its factorization.

420611433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 420611433312 its reverse (213334116024), we get a palindrome (633945549336).

The spelling of 420611433312 in words is "four hundred twenty billion, six hundred eleven million, four hundred thirty-three thousand, three hundred twelve".