431770130000000 has 512 divisors, whose sum is σ = 1174943757761280. Its totient is φ = 156740800000000.

The previous prime is 431770129999961. The next prime is 431770130000023. The reversal of 431770130000000 is 31077134.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 71829996995 + ... + 71830003005.

Almost surely, 2^{431770130000000} is an apocalyptic number.

431770130000000 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 431770130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587471878880640).

431770130000000 is an abundant number, since it is smaller than the sum of its proper divisors (743173627761280).

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

431770130000000 is an frugal number, since it uses more digits than its factorization.

431770130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

Adding to 431770130000000 its reverse (31077134), we get a palindrome (431770161077134).

The spelling of 431770130000000 in words is "four hundred thirty-one trillion, seven hundred seventy billion, one hundred thirty million", and thus it is an aban number.