421332531664000 has 256 divisors, whose sum is σ = 1147321718524800. Its totient is φ = 152601408000000.

The previous prime is 421332531663943. The next prime is 421332531664003. The reversal of 421332531664000 is 466135233124.

It is a super-2 number, since 2×421332531664000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (421332531664003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39407206 + ... + 48944794.

Almost surely, 2^{421332531664000} is an apocalyptic number.

421332531664000 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 421332531664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573660859262400).

421332531664000 is an abundant number, since it is smaller than the sum of its proper divisors (725989186860800).

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

421332531664000 is a wasteful number, since it uses less digits than its factorization.

421332531664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537880 (or 9537858 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 421332531664000 its reverse (466135233124), we get a palindrome (421798666897124).

The spelling of 421332531664000 in words is "four hundred twenty-one trillion, three hundred thirty-two billion, five hundred thirty-one million, six hundred sixty-four thousand".