431350234000 has 480 divisors, whose sum is σ = 1309898304000. Its totient is φ = 136562764800.

The previous prime is 431350233997. The next prime is 431350234019. The reversal of 431350234000 is 432053134.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65362701 + ... + 65369299.

It is an arithmetic number, because the mean of its divisors is an integer number (2728954800).

Almost surely, 2^431350234000 is an apocalyptic number.

431350234000 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 431350234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654949152000).

431350234000 is an abundant number, since it is smaller than the sum of its proper divisors (878548070000).

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

431350234000 is a wasteful number, since it uses less digits than its factorization.

431350234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 431350234000 its reverse (432053134), we get a palindrome (431782287134).

The spelling of 431350234000 in words is "four hundred thirty-one billion, three hundred fifty million, two hundred thirty-four thousand".