431424221202 has 192 divisors, whose sum is σ = 1075025952000. Its totient is φ = 123945583104.

The previous prime is 431424221201. The next prime is 431424221269. The reversal of 431424221202 is 202122424134.

It is a happy number.

431424221202 is a `hidden beast` number, since 4 + 31 + 4 + 2 + 422 + 1 + 202 = 666.

It is a super-2 number, since 2×431424221202² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431424221201) 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, 95466699 + ... + 95471217.

It is an arithmetic number, because the mean of its divisors is an integer number (5599093500).

Almost surely, 2^431424221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431424221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537512976000).

431424221202 is an abundant number, since it is smaller than the sum of its proper divisors (643601730798).

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

431424221202 is a wasteful number, since it uses less digits than its factorization.

431424221202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 431424221202 its reverse (202122424134), we get a palindrome (633546645336).

The spelling of 431424221202 in words is "four hundred thirty-one billion, four hundred twenty-four million, two hundred twenty-one thousand, two hundred two".