431002343200134 has 128 divisors (see below), whose sum is σ = 913207880116224. Its totient is φ = 135429117696000.

The previous prime is 431002343200061. The next prime is 431002343200193.

It is a happy number.

431002343200134 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 756974514 + ... + 757543674.

It is an arithmetic number, because the mean of its divisors is an integer number (7134436563408).

Almost surely, 2^{431002343200134} is an apocalyptic number.

431002343200134 is an abundant number, since it is smaller than the sum of its proper divisors (482205536916090).

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

431002343200134 is a wasteful number, since it uses less digits than its factorization.

431002343200134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569822.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 431002343200134 in words is "four hundred thirty-one trillion, two billion, three hundred forty-three million, two hundred thousand, one hundred thirty-four".