431434134302000 has 160 divisors (see below), whose sum is σ = 1065488745784320. Its totient is φ = 168888382790400.

The previous prime is 431434134301993. The next prime is 431434134302077. The reversal of 431434134302000 is 203431434134.

It is a super-2 number, since 2×431434134302000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219849187 + ... + 1220202813.

It is an arithmetic number, because the mean of its divisors is an integer number (6659304661152).

Almost surely, 2^{431434134302000} is an apocalyptic number.

431434134302000 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 431434134302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532744372892160).

431434134302000 is an abundant number, since it is smaller than the sum of its proper divisors (634054611482320).

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

431434134302000 is a wasteful number, since it uses less digits than its factorization.

431434134302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366676 (or 366660 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 431434134302000 its reverse (203431434134), we get a palindrome (431637565736134).

The spelling of 431434134302000 in words is "four hundred thirty-one trillion, four hundred thirty-four billion, one hundred thirty-four million, three hundred two thousand".