431620361200 has 240 divisors, whose sum is σ = 1232129620800. Its totient is φ = 145189524480.

The previous prime is 431620361191. The next prime is 431620361201. The reversal of 431620361200 is 2163026134.

It is a super-2 number, since 2×431620361200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431620361201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7241922 + ... + 7301278.

It is an arithmetic number, because the mean of its divisors is an integer number (5133873420).

Almost surely, 2^431620361200 is an apocalyptic number.

431620361200 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 431620361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616064810400).

431620361200 is an abundant number, since it is smaller than the sum of its proper divisors (800509259600).

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

431620361200 is a wasteful number, since it uses less digits than its factorization.

431620361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59449 (or 59424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 431620361200 its reverse (2163026134), we get a palindrome (433783387334).

The spelling of 431620361200 in words is "four hundred thirty-one billion, six hundred twenty million, three hundred sixty-one thousand, two hundred".