431423441024 has 192 divisors, whose sum is σ = 964639559160. Its totient is φ = 191499337728.

The previous prime is 431423440979. The next prime is 431423441039. The reversal of 431423441024 is 420144324134.

It can be written as a sum of positive squares in 4 ways, for example, as 414375438400 + 17048002624 = 643720^2 + 130568^2 .

It is a super-2 number, since 2×431423441024² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201881684 + ... + 201883820.

Almost surely, 2^431423441024 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 431423441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482319779580).

431423441024 is an abundant number, since it is smaller than the sum of its proper divisors (533216118136).

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

431423441024 is a wasteful number, since it uses less digits than its factorization.

431423441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 431423441024 its reverse (420144324134), we get a palindrome (851567765158).

The spelling of 431423441024 in words is "four hundred thirty-one billion, four hundred twenty-three million, four hundred forty-one thousand, twenty-four".