431143444000 has 96 divisors (see below), whose sum is σ = 1077274598400. Its totient is φ = 169534278400.

The previous prime is 431143443959. The next prime is 431143444001. The reversal of 431143444000 is 444341134.

It is a happy number.

It is a super-2 number, since 2×431143444000² (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 431143444000.

It is not an unprimeable number, because it can be changed into a prime (431143444001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677440 + ... + 1149439.

It is an arithmetic number, because the mean of its divisors is an integer number (11221610400).

Almost surely, 2^431143444000 is an apocalyptic number.

431143444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431143444000 is an abundant number, since it is smaller than the sum of its proper divisors (646131154400).

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

431143444000 is a wasteful number, since it uses less digits than its factorization.

431143444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826963 (or 1826945 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 431143444000 its reverse (444341134), we get a palindrome (431587785134).

The spelling of 431143444000 in words is "four hundred thirty-one billion, one hundred forty-three million, four hundred forty-four thousand".