20421420406002 has 256 divisors, whose sum is σ = 57175372800000. Its totient is φ = 5248424263680.

The previous prime is 20421420405989. The next prime is 20421420406033. The reversal of 20421420406002 is 20060402412402.

20421420406002 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 14 + 2 + 0 + 40 + 600 + 2 = 666.

It is a super-2 number, since 2×20421420406002² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 534895138 + ... + 534933314.

It is an arithmetic number, because the mean of its divisors is an integer number (223341300000).

Almost surely, 2^{20421420406002} is an apocalyptic number.

20421420406002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20421420406002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28587686400000).

20421420406002 is an abundant number, since it is smaller than the sum of its proper divisors (36753952393998).

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

20421420406002 is a wasteful number, since it uses less digits than its factorization.

20421420406002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39558 (or 39552 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20421420406002 its reverse (20060402412402), we get a palindrome (40481822818404).

The spelling of 20421420406002 in words is "twenty trillion, four hundred twenty-one billion, four hundred twenty million, four hundred six thousand, two".