420246006444 has 72 divisors (see below), whose sum is σ = 1158957753408. Its totient is φ = 127336554720.

The previous prime is 420246006443. The next prime is 420246006503. The reversal of 420246006444 is 444600642024.

420246006444 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 4 + 6 + 0 + 0 + 644 + 4 = 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 = 420246006399 and 420246006408.

It is not an unprimeable number, because it can be changed into a prime (420246006443) 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 23 ways as a sum of consecutive naturals, for example, 5548759 + ... + 5623985.

It is an arithmetic number, because the mean of its divisors is an integer number (16096635464).

Almost surely, 2^420246006444 is an apocalyptic number.

420246006444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420246006444 is an abundant number, since it is smaller than the sum of its proper divisors (738711746964).

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

420246006444 is a wasteful number, since it uses less digits than its factorization.

420246006444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89355 (or 89350 counting only the distinct ones).

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

Adding to 420246006444 its reverse (444600642024), we get a palindrome (864846648468).

The spelling of 420246006444 in words is "four hundred twenty billion, two hundred forty-six million, six thousand, four hundred forty-four".