431132121420 has 768 divisors, whose sum is σ = 1667233677312. Its totient is φ = 80352829440.

The previous prime is 431132121419. The next prime is 431132121421. The reversal of 431132121420 is 24121231134.

It is an interprime number because it is at equal distance from previous prime (431132121419) and next prime (431132121421).

It is a super-2 number, since 2×431132121420² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431132121421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 460119192 + ... + 460120128.

It is an arithmetic number, because the mean of its divisors is an integer number (2170877184).

Almost surely, 2^431132121420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431132121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833616838656).

431132121420 is an abundant number, since it is smaller than the sum of its proper divisors (1236101555892).

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

431132121420 is a wasteful number, since it uses less digits than its factorization.

431132121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 431132121420 its reverse (24121231134), we get a palindrome (455253352554).

The spelling of 431132121420 in words is "four hundred thirty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, four hundred twenty".