431420355300000 has 288 divisors, whose sum is σ = 1544189949142848. Its totient is φ = 104586752000000.

The previous prime is 431420355299993. The next prime is 431420355300007. The reversal of 431420355300000 is 3553024134.

It is an interprime number because it is at equal distance from previous prime (431420355299993) and next prime (431420355300007).

It is a super-2 number, since 2×431420355300000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (431420355300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62066721 + ... + 68666720.

It is an arithmetic number, because the mean of its divisors is an integer number (5361770656746).

Almost surely, 2^{431420355300000} is an apocalyptic number.

431420355300000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431420355300000 is an abundant number, since it is smaller than the sum of its proper divisors (1112769593842848).

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

431420355300000 is a wasteful number, since it uses less digits than its factorization.

431420355300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130733490 (or 130733462 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 431420355300000 in words is "four hundred thirty-one trillion, four hundred twenty billion, three hundred fifty-five million, three hundred thousand".