202421420432000 has 512 divisors, whose sum is σ = 633318293237760. Its totient is φ = 62502701568000.

The previous prime is 202421420431907. The next prime is 202421420432041. The reversal of 202421420432000 is 234024124202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131056229 + ... + 132591771.

It is an arithmetic number, because the mean of its divisors is an integer number (1236949791480).

Almost surely, 2^{202421420432000} is an apocalyptic number.

202421420432000 is a gapful number since it is divisible by the number (20) 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 202421420432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316659146618880).

202421420432000 is an abundant number, since it is smaller than the sum of its proper divisors (430896872805760).

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

202421420432000 is a wasteful number, since it uses less digits than its factorization.

202421420432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535697 (or 1535675 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 202421420432000 its reverse (234024124202), we get a palindrome (202655444556202).

The spelling of 202421420432000 in words is "two hundred two trillion, four hundred twenty-one billion, four hundred twenty million, four hundred thirty-two thousand".