431000110214144 has 88 divisors (see below), whose sum is σ = 864477462462768. Its totient is φ = 214775315251200.

The previous prime is 431000110214057. The next prime is 431000110214153. The reversal of 431000110214144 is 441412011000134.

It is a happy number.

It is a super-2 number, since 2×431000110214144² (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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3185423294 + ... + 3185558594.

It is an arithmetic number, because the mean of its divisors is an integer number (9823607527986).

Almost surely, 2^{431000110214144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431000110214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432238731231384).

431000110214144 is an abundant number, since it is smaller than the sum of its proper divisors (433477352248624).

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

431000110214144 is a wasteful number, since it uses less digits than its factorization.

431000110214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145761 (or 145743 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 431000110214144 its reverse (441412011000134), we get a palindrome (872412121214278).

The spelling of 431000110214144 in words is "four hundred thirty-one trillion, one hundred ten million, two hundred fourteen thousand, one hundred forty-four".