421102431400 has 384 divisors, whose sum is σ = 1207282728960. Its totient is φ = 133539840000.

The previous prime is 421102431383. The next prime is 421102431401. The reversal of 421102431400 is 4134201124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (421102431401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87709000 + ... + 87713800.

It is an arithmetic number, because the mean of its divisors is an integer number (3143965440).

Almost surely, 2^421102431400 is an apocalyptic number.

421102431400 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 421102431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603641364480).

421102431400 is an abundant number, since it is smaller than the sum of its proper divisors (786180297560).

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

421102431400 is a wasteful number, since it uses less digits than its factorization.

421102431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 421102431400 its reverse (4134201124), we get a palindrome (425236632524).

It can be divided in two parts, 4211024 and 31400, that added together give a palindrome (4242424).

The spelling of 421102431400 in words is "four hundred twenty-one billion, one hundred two million, four hundred thirty-one thousand, four hundred".