420254444240 has 320 divisors, whose sum is σ = 1097179776000. Its totient is φ = 149030461440.

The previous prime is 420254444227. The next prime is 420254444243. The reversal of 420254444240 is 42444452024.

It is a happy number.

It is a super-2 number, since 2×420254444240² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420254444240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420254444243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225820910 + ... + 225822770.

It is an arithmetic number, because the mean of its divisors is an integer number (3428686800).

Almost surely, 2^420254444240 is an apocalyptic number.

420254444240 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 420254444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548589888000).

420254444240 is an abundant number, since it is smaller than the sum of its proper divisors (676925331760).

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

420254444240 is a wasteful number, since it uses less digits than its factorization.

420254444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 35.

Adding to 420254444240 its reverse (42444452024), we get a palindrome (462698896264).

The spelling of 420254444240 in words is "four hundred twenty billion, two hundred fifty-four million, four hundred forty-four thousand, two hundred forty".