421134336000 has 1344 divisors, whose sum is σ = 1884416002560. Its totient is φ = 90596966400.

The previous prime is 421134335977. The next prime is 421134336001. The reversal of 421134336000 is 633431124.

421134336000 is a `hidden beast` number, since 4 + 2 + 1 + 13 + 43 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421134336001) 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, 24772607992 + ... + 24772608008.

It is an arithmetic number, because the mean of its divisors is an integer number (1402095240).

Almost surely, 2^421134336000 is an apocalyptic number.

421134336000 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 421134336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942208001280).

421134336000 is an abundant number, since it is smaller than the sum of its proper divisors (1463281666560).

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

421134336000 is an frugal number, since it uses more digits than its factorization.

421134336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 421134336000 its reverse (633431124), we get a palindrome (421767767124).

The spelling of 421134336000 in words is "four hundred twenty-one billion, one hundred thirty-four million, three hundred thirty-six thousand".