431201003335104 has 224 divisors, whose sum is σ = 1212915726259200. Its totient is φ = 134810229657600.

The previous prime is 431201003335097. The next prime is 431201003335163. The reversal of 431201003335104 is 401533300102134.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5865286954 + ... + 5865360470.

Almost surely, 2^{431201003335104} 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 431201003335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606457863129600).

431201003335104 is an abundant number, since it is smaller than the sum of its proper divisors (781714722924096).

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

431201003335104 is a wasteful number, since it uses less digits than its factorization.

431201003335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89571 (or 89561 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 431201003335104 its reverse (401533300102134), we get a palindrome (832734303437238).

The spelling of 431201003335104 in words is "four hundred thirty-one trillion, two hundred one billion, three million, three hundred thirty-five thousand, one hundred four".