421201860800 has 336 divisors, whose sum is σ = 1230635900928. Its totient is φ = 138845491200.

The previous prime is 421201860787. The next prime is 421201860803. The reversal of 421201860800 is 8068102124.

It is a happy number.

It is a super-2 number, since 2×421201860800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (421201860803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54506537 + ... + 54514263.

It is an arithmetic number, because the mean of its divisors is an integer number (3662606848).

Almost surely, 2^421201860800 is an apocalyptic number.

421201860800 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 421201860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615317950464).

421201860800 is an abundant number, since it is smaller than the sum of its proper divisors (809434040128).

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

421201860800 is a wasteful number, since it uses less digits than its factorization.

421201860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

Adding to 421201860800 its reverse (8068102124), we get a palindrome (429269962924).

The spelling of 421201860800 in words is "four hundred twenty-one billion, two hundred one million, eight hundred sixty thousand, eight hundred".