420424263000 has 2304 divisors, whose sum is σ = 1901618933760. Its totient is φ = 86220288000.

The previous prime is 420424262977. The next prime is 420424263011. The reversal of 420424263000 is 362424024.

420424263000 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 24 + 2 + 630 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 6274988967 + ... + 6274989033.

It is an arithmetic number, because the mean of its divisors is an integer number (825355440).

Almost surely, 2^420424263000 is an apocalyptic number.

420424263000 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 420424263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950809466880).

420424263000 is an abundant number, since it is smaller than the sum of its proper divisors (1481194670760).

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

420424263000 is a wasteful number, since it uses less digits than its factorization.

420424263000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 420424263000 its reverse (362424024), we get a palindrome (420786687024).

The spelling of 420424263000 in words is "four hundred twenty billion, four hundred twenty-four million, two hundred sixty-three thousand".