431053413102104 has 256 divisors, whose sum is σ = 941292358272000. Its totient is φ = 183390626119680.

The previous prime is 431053413102007. The next prime is 431053413102107. The reversal of 431053413102104 is 401201314350134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431053413102107) by changing a digit.

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, 11376723992 + ... + 11376761880.

It is an arithmetic number, because the mean of its divisors is an integer number (3676923274500).

Almost surely, 2^{431053413102104} 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 431053413102104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470646179136000).

431053413102104 is an abundant number, since it is smaller than the sum of its proper divisors (510238945169896).

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

431053413102104 is a wasteful number, since it uses less digits than its factorization.

431053413102104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39058 (or 39054 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 431053413102104 its reverse (401201314350134), we get a palindrome (832254727452238).

The spelling of 431053413102104 in words is "four hundred thirty-one trillion, fifty-three billion, four hundred thirteen million, one hundred two thousand, one hundred four".