421321044144000 has 6144 divisors, whose sum is σ = 2087099918991360. Its totient is φ = 73574645760000.

The previous prime is 421321044143959. The next prime is 421321044144001. The reversal of 421321044144000 is 441440123124.

It is a happy number.

It is a super-2 number, since 2×421321044144000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421321044144001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 177249070812 + ... + 177249073188.

It is an arithmetic number, because the mean of its divisors is an integer number (339697252440).

Almost surely, 2^{421321044144000} is an apocalyptic number.

421321044144000 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 421321044144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043549959495680).

421321044144000 is an abundant number, since it is smaller than the sum of its proper divisors (1665778874847360).

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

421321044144000 is a wasteful number, since it uses less digits than its factorization.

421321044144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 421321044144000 its reverse (441440123124), we get a palindrome (421762484267124).

The spelling of 421321044144000 in words is "four hundred twenty-one trillion, three hundred twenty-one billion, forty-four million, one hundred forty-four thousand".