431289261780 has 96 divisors (see below), whose sum is σ = 1302990858624. Its totient is φ = 105960420864.

The previous prime is 431289261779. The next prime is 431289261839. The reversal of 431289261780 is 87162982134.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 120679 + ... + 936558.

It is an arithmetic number, because the mean of its divisors is an integer number (13572821444).

Almost surely, 2^431289261780 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 431289261780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651495429312).

431289261780 is an abundant number, since it is smaller than the sum of its proper divisors (871701596844).

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

431289261780 is a wasteful number, since it uses less digits than its factorization.

431289261780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057785 (or 1057783 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 431289261780 in words is "four hundred thirty-one billion, two hundred eighty-nine million, two hundred sixty-one thousand, seven hundred eighty".