420644109312 has 880 divisors, whose sum is σ = 1600731728640. Its totient is φ = 107113218048.

The previous prime is 420644109269. The next prime is 420644109317. The reversal of 420644109312 is 213901446024.

420644109312 is a `hidden beast` number, since 4 + 2 + 0 + 644 + 1 + 0 + 9 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×420644109312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420644109317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187535263 + ... + 187537505.

It is an arithmetic number, because the mean of its divisors is an integer number (1819013328).

Almost surely, 2^420644109312 is an apocalyptic number.

420644109312 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 420644109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800365864320).

420644109312 is an abundant number, since it is smaller than the sum of its proper divisors (1180087619328).

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

420644109312 is a wasteful number, since it uses less digits than its factorization.

420644109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 420644109312 in words is "four hundred twenty billion, six hundred forty-four million, one hundred nine thousand, three hundred twelve".