420238393344 has 816 divisors, whose sum is σ = 1596507694080. Its totient is φ = 103195607040.

The previous prime is 420238393343. The next prime is 420238393357. The reversal of 420238393344 is 443393832024.

420238393344 is a `hidden beast` number, since 4 + 20 + 238 + 393 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420238393344.

It is not an unprimeable number, because it can be changed into a prime (420238393343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862912269 + ... + 862912755.

Almost surely, 2^420238393344 is an apocalyptic number.

420238393344 is a gapful number since it is divisible by the number (44) 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 420238393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798253847040).

420238393344 is an abundant number, since it is smaller than the sum of its proper divisors (1176269300736).

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

420238393344 is a wasteful number, since it uses less digits than its factorization.

420238393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 420238393344 in words is "four hundred twenty billion, two hundred thirty-eight million, three hundred ninety-three thousand, three hundred forty-four".