420206644440 has 192 divisors, whose sum is σ = 1490115463200. Its totient is φ = 101848320000.

The previous prime is 420206644399. The next prime is 420206644447. The reversal of 420206644440 is 44446602024.

420206644440 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 0 + 6 + 644 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 420206644395 and 420206644404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420206644447) 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 47 ways as a sum of consecutive naturals, for example, 35638066 + ... + 35649854.

Almost surely, 2^420206644440 is an apocalyptic number.

420206644440 is a gapful number since it is divisible by the number (40) 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 420206644440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745057731600).

420206644440 is an abundant number, since it is smaller than the sum of its proper divisors (1069908818760).

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

420206644440 is a wasteful number, since it uses less digits than its factorization.

420206644440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20818 (or 20811 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 420206644440 in words is "four hundred twenty billion, two hundred six million, six hundred forty-four thousand, four hundred forty".