431401121000 has 32 divisors (see below), whose sum is σ = 1009478625480. Its totient is φ = 172560448000.

The previous prime is 431401120999. The next prime is 431401121051. The reversal of 431401121000 is 121104134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92451267364 + 338949853636 = 304058^2 + 582194^2 .

It is a super-2 number, since 2×431401121000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431401121000.

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 7 ways as a sum of consecutive naturals, for example, 215699561 + ... + 215701560.

Almost surely, 2^431401121000 is an apocalyptic number.

431401121000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431401121000 is an abundant number, since it is smaller than the sum of its proper divisors (578077504480).

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

431401121000 is a wasteful number, since it uses less digits than its factorization.

431401121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431401142 (or 431401128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 431401121000 its reverse (121104134), we get a palindrome (431522225134).

The spelling of 431401121000 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty-one thousand".