421414223134140 has 576 divisors, whose sum is σ = 1377218850658560. Its totient is φ = 104085131673600.

The previous prime is 421414223134129. The next prime is 421414223134141. The reversal of 421414223134140 is 41431322414124.

421414223134140 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 1 + 4 + 2 + 231 + 3 + 414 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 421414223134095 and 421414223134104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421414223134141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69805235202 + ... + 69805241238.

It is an arithmetic number, because the mean of its divisors is an integer number (2391004949060).

Almost surely, 2^{421414223134140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421414223134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688609425329280).

421414223134140 is an abundant number, since it is smaller than the sum of its proper divisors (955804627524420).

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

421414223134140 is a wasteful number, since it uses less digits than its factorization.

421414223134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 421414223134140 its reverse (41431322414124), we get a palindrome (462845545548264).

The spelling of 421414223134140 in words is "four hundred twenty-one trillion, four hundred fourteen billion, two hundred twenty-three million, one hundred thirty-four thousand, one hundred forty".