431434411300000 has 72 divisors (see below), whose sum is σ = 1061665170884892. Its totient is φ = 172573764480000.

The previous prime is 431434411299977. The next prime is 431434411300049. The reversal of 431434411300000 is 3114434134.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 74027370535056 + 357407040764944 = 8603916^2 + 18905212^2 .

It is a super-2 number, since 2×431434411300000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2157072057 + ... + 2157272056.

Almost surely, 2^{431434411300000} is an apocalyptic number.

431434411300000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431434411300000 is an abundant number, since it is smaller than the sum of its proper divisors (630230759584892).

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

431434411300000 is an frugal number, since it uses more digits than its factorization.

431434411300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314344148 (or 4314344120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 431434411300000 its reverse (3114434134), we get a palindrome (431437525734134).

The spelling of 431434411300000 in words is "four hundred thirty-one trillion, four hundred thirty-four billion, four hundred eleven million, three hundred thousand".